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7-4 Common Multiples      and LCM       Math Notes     Number Sense 2.4
ExampleFind the Least Common Multiple (GCF) of 4 and 6.
ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP ONE: List the MULTIPLES of 4.
ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP ONE: List the MULTIPLES of 4.   4:
ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP ONE: List the MULTIPLES of 4.   4: 4,8,12,16,20,24,28
ExampleFind the Least Common Multiple (GCF) of 4 and 6.   4: 4,8,12,16,20,24,28
ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP TWO: List the MULTIPLES of 6.   4: 4,8,12,16,20,24,28
ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP TWO: List the MULTIPLES of 6.   4: 4,8,12,16,20,24,28   6:
ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP TWO: List the MULTIPLES of 6.   4: 4,8,12,16,20,24,28   6: 6,1...
ExampleFind the Least Common Multiple (GCF) of 4 and 6.   4: 4,8,12,16,20,24,28   6: 6,12,18,24,30,36
Example    Find the Least Common Multiple (GCF) of 4 and 6.STEP THREE: Find the common multiples in both list.        4: 4...
ExampleFind the Least Common Multiple (GCF) of 4 and 6.   4: 4,8,12,16,20,24,28   6: 6,12,18,24,30,36
ExampleFind the Least Common Multiple (GCF) of 4 and 6.   4: 4,8,12,16,20,24,28   6: 6,12,18,24,30,36                     ...
ExampleFind the Least Common Multiple (GCF) of 4 and 6.   4: 4,8,12,16,20,24,28   6: 6,12,18,24,30,36                     ...
ExampleFind the Least Common Multiple (GCF) of 9 and 15.
ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP ONE: List the MULTIPLES of 9.
ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP ONE: List the MULTIPLES of 9.    9:
ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP ONE: List the MULTIPLES of 9.    9: 9,18,27,36,45,54,60
ExampleFind the Least Common Multiple (GCF) of 9 and 15.    9: 9,18,27,36,45,54,60
ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP TWO: List the MULTIPLES of 15.    9: 9,18,27,36,45,54,60
ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP TWO: List the MULTIPLES of 15.    9: 9,18,27,36,45,54,60   15:
ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP TWO: List the MULTIPLES of 15.    9: 9,18,27,36,45,54,60   15...
ExampleFind the Least Common Multiple (GCF) of 9 and 15.    9: 9,18,27,36,45,54,60   15: 15,30,45,60,75,90
Example    Find the Least Common Multiple (GCF) of 9 and 15.STEP THREE: Find the common multiples in both list.        9: ...
ExampleFind the Least Common Multiple (GCF) of 9 and 15.    9: 9,18,27,36,45,54,60   15: 15,30,45,60,75,90
ExampleFind the Least Common Multiple (GCF) of 9 and 15.    9: 9,18,27,36,45,54,60   15: 15,30,45,60,75,90                ...
ExampleFind the Least Common Multiple (GCF) of 9 and 15.    9: 9,18,27,36,45,54,60   15: 15,30,45,60,75,90                ...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.  STEP ONE: List the multiples of 8.
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.  STEP ONE: List the multiples of 8. 8:
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.  STEP ONE: List the multiples of 8. 8:      8,16,24,32,40,48...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8:      8,16,24,32,40,48,56
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.   STEP TWO: List the multiples of 10. 8:      8,16,24,32,40,...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.   STEP TWO: List the multiples of 10. 8:      8,16,24,32,40,...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.   STEP TWO: List the multiples of 10. 8: 8,16,24,32,40,48,56...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,70
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.STEP THREE: List the multiples of 40. 8: 8,16,24,32,40,48,561...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.STEP THREE: List the multiples of 40. 8: 8,16,24,32,40,48,561...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.STEP THREE: List the multiples of 40. 8: 8,16,24,32,40,48,561...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,7040: 40,80,120,...
Example   Find the Least Common Multiple (LCM) of 8, 10, and 40.STEP FOUR: Find the common multiples in all 3 lists.   8: ...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,7040: 40,80,120,...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,7040: 40,80,120,...
ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,7040: 40,80,120,...
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7-4 Common Multiples and LCM

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7-4 Common Multiples and LCM

  1. 1. 7-4 Common Multiples and LCM Math Notes Number Sense 2.4
  2. 2. ExampleFind the Least Common Multiple (GCF) of 4 and 6.
  3. 3. ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP ONE: List the MULTIPLES of 4.
  4. 4. ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP ONE: List the MULTIPLES of 4. 4:
  5. 5. ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP ONE: List the MULTIPLES of 4. 4: 4,8,12,16,20,24,28
  6. 6. ExampleFind the Least Common Multiple (GCF) of 4 and 6. 4: 4,8,12,16,20,24,28
  7. 7. ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP TWO: List the MULTIPLES of 6. 4: 4,8,12,16,20,24,28
  8. 8. ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP TWO: List the MULTIPLES of 6. 4: 4,8,12,16,20,24,28 6:
  9. 9. ExampleFind the Least Common Multiple (GCF) of 4 and 6.STEP TWO: List the MULTIPLES of 6. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36
  10. 10. ExampleFind the Least Common Multiple (GCF) of 4 and 6. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36
  11. 11. Example Find the Least Common Multiple (GCF) of 4 and 6.STEP THREE: Find the common multiples in both list. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36
  12. 12. ExampleFind the Least Common Multiple (GCF) of 4 and 6. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36
  13. 13. ExampleFind the Least Common Multiple (GCF) of 4 and 6. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36 Which is the common multiple?
  14. 14. ExampleFind the Least Common Multiple (GCF) of 4 and 6. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36 Which is the LCM is 24 common multiple?
  15. 15. ExampleFind the Least Common Multiple (GCF) of 9 and 15.
  16. 16. ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP ONE: List the MULTIPLES of 9.
  17. 17. ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP ONE: List the MULTIPLES of 9. 9:
  18. 18. ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP ONE: List the MULTIPLES of 9. 9: 9,18,27,36,45,54,60
  19. 19. ExampleFind the Least Common Multiple (GCF) of 9 and 15. 9: 9,18,27,36,45,54,60
  20. 20. ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP TWO: List the MULTIPLES of 15. 9: 9,18,27,36,45,54,60
  21. 21. ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP TWO: List the MULTIPLES of 15. 9: 9,18,27,36,45,54,60 15:
  22. 22. ExampleFind the Least Common Multiple (GCF) of 9 and 15.STEP TWO: List the MULTIPLES of 15. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90
  23. 23. ExampleFind the Least Common Multiple (GCF) of 9 and 15. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90
  24. 24. Example Find the Least Common Multiple (GCF) of 9 and 15.STEP THREE: Find the common multiples in both list. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90
  25. 25. ExampleFind the Least Common Multiple (GCF) of 9 and 15. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90
  26. 26. ExampleFind the Least Common Multiple (GCF) of 9 and 15. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90 Which is the common multiple?
  27. 27. ExampleFind the Least Common Multiple (GCF) of 9 and 15. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90 Which is the LCM is 45 common multiple?
  28. 28. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.
  29. 29. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. STEP ONE: List the multiples of 8.
  30. 30. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. STEP ONE: List the multiples of 8. 8:
  31. 31. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. STEP ONE: List the multiples of 8. 8: 8,16,24,32,40,48,56
  32. 32. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,56
  33. 33. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. STEP TWO: List the multiples of 10. 8: 8,16,24,32,40,48,56
  34. 34. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. STEP TWO: List the multiples of 10. 8: 8,16,24,32,40,48,5610:
  35. 35. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. STEP TWO: List the multiples of 10. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,70
  36. 36. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,70
  37. 37. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.STEP THREE: List the multiples of 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,70
  38. 38. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.STEP THREE: List the multiples of 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,7040:
  39. 39. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40.STEP THREE: List the multiples of 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,7040: 40,80,120,160,200,240
  40. 40. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,7040: 40,80,120,160,200,240
  41. 41. Example Find the Least Common Multiple (LCM) of 8, 10, and 40.STEP FOUR: Find the common multiples in all 3 lists. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70 40: 40,80,120,160,200,240
  42. 42. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,7040: 40,80,120,160,200,240
  43. 43. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,7040: 40,80,120,160,200,240 Which multiple do they have in common?
  44. 44. ExampleFind the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,5610: 10,20,30,40,50,60,7040: 40,80,120,160,200,240 Which multiple LCM is 40 do they have in common?

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