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This document provides instruction on finding the least common multiple (LCM) of two or more numbers using different strategies. It explains that the LCM is the smallest number that is a multiple of both/all numbers. Three methods are described: 1) listing the multiples of each number and finding their common multiples, 2) using prime factorization and factor trees, and 3) using the Lemon CAKE method which involves setting up a division problem to systematically find the LCM. Examples of each method are worked through.
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Updated sec. 5.4
- 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. 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. 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. Find two common multiples of the numbers. 6, 18
- 5. Answer: 6, 18 Common multiples: 18, 36
- 6. Methods of finding the LCM 1. List the multiples of each number 2. Prime Factorization - Factor Tree 3. Lemon CAKE
- 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. 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. Find the LCM of 50, 90. 3. Lemon CAKE 2 50 90 5 25 45 5 9 = 450 LCM: 2 x 5 x 5 x 9 = 450
- 10. Lemon CAKE method you do the same steps as the CAKE method except that you multiply the left side and the bottom side of the cake (which makes a L shape) to find the LCM.
- 11. Find the LCM of the numbers. 8, 14 9, 15
- 12. Answers: 8, 14 LCM: 56 9, 15 LCM: 45
- 13. Can you find the least common multiple (LCM) of two or more numbers?