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Transcript

  • 1. Least Common Multiple Lesson 3-6
  • 2. Multiples
    • A multiple is formed by multiplying a given number by the counting numbers.
    • The counting numbers are 1, 2, 3, 4, 5, 6, etc.
  • 3. Example: List the multiples of 4:
    • 4 x 1 = 4
    • 4 x 2 = 8
    • 4 x 3 = 12
    • 4 x 4 = 16
    • 4 x 5 = 20
    • 4 x 6 = 24
    Counting Numbers So, the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, etc.
  • 4. What are the first five multiples of 13? 13 x 1 =13 13 x 2 = 26 13 x 3 = 39 13 x 4 = 52 13 x 5 = 65 13, 26, 39, 52, 65
  • 5. Find the Missing Multiples
    • 6, 12, 18, ____, ____
    • ___, 6, 9, 12, ____, ____, 21
    • ___, 24, 36, 48, 60, ____
    24 30 3 15 18 12 72
  • 6. Least Common Multiple (LCM)
    • The least common multiple is the smallest number that is common between two lists of multiples.
  • 7. EXAMPLE: Find the LCM of 12 and 18
    • The multiples of 12:
    • 12 x 1 = 12
    • 12 x 2 =24
    • 12 x 3 = 36
    • 12 x 4 = 48
    • 12 x 5 =60
    • The multiples of 18:
    • 18 x 1 = 18
    • 18 x 2 = 36
    • 18 x 3 = 54
    • 18 x 4 = 72
    • 18 x 5 = 90
  • 8. 12, 24, 36, 48, 60 18, 36, 54, 72, 90 The first number you see in both lists is 36. The least common multiple of 12 and 18 is 36.
  • 9. Example 2: Find the LCM of 9 and 10 9, 18, 27, 36, 45, 54, 63, 72 10, 20, 30, 40, 50, 60, 70, 80 If you don’t see a common multiple, make each list go further. 81, 90, 99 90, 100, 110 The LCM of 9 and 10 is 90
  • 10. Example 3: Find the LCM of 4 and 12 4, 8, 12, 16 12, 24, 36 Answer: 12
  • 11. Example 5: Find the LCM of 6 and 20 6, 12, 18, 24, 30, 36 20, 40, 60, 80, 100, 120 42, 48, 54, 60 Answer: 60
  • 12. Homework Time