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# Sec. 5.4

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### Sec. 5.4

1. 1. Fill in the chart above. X 1 X 2 X 3 X 4 X 5 X 6 X 7 X 8 X 9 2 3
2. 2. Learning Target: Students will learn how to find the least common multiple (LCM) of two or more numbers and they will learn the different strategies for doing so.
3. 3. These are the multiples of 2 and 3. (always start by multiplying by 1) The first three common multiples are 6, 12, 18. The least common multiple (LCM) is 6. X 1 X 2 X 3 X 4 X 5 X 6 X 7 X 8 X 9 2 2 4 6 8 10 12 14 16 18 3 3 6 9 12 15 18 21 24 27
4. 4. Find two common multiples of the numbers. 6, 18
5. 5. Answer: 6, 18 Common multiples: 18, 36
6. 6. Methods of finding the LCM 1. List the multiples of each number 2. Prime Factorization - Factor Tree 3. Limon CAKE
7. 7. Find the LCM of 3, 5. 1. List the multiples of each number (do two multiples at a time) 3: 3, 6, 9, 12, 15 5: 5, 10, 15, 20 LCM: 15
8. 8. Find the LCM of 8, 10. 2. Prime Factorization - Factor Tree Prime factorization of 8: 2, 2, 2 10:2, 5 LCM: 2 x 2 x 2 x 5 = 40
9. 9. Find the LCM of 50, 90. 3. Limon CAKE 2 50 90 5 25 45 5 9 = 450 LCM: 2 x 5 x 5 x 9 = 450
10. 10. Limon CAKE method you do the same steps as the CAKE method except that you multiple the left side and the bottom side of the cake (which makes a L shape) to find the LCM.
11. 11. Find the LCM of the numbers. 8, 14 9, 15
12. 12. Answers: 8, 14 LCM: 56 9, 15 LCM: 45
13. 13. Can you find the least common multiple (LCM) of two or more numbers?