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Exploring Least Common Multiples (LCM) for Students

Learn to find the LCM of two numbers to aid in adding and subtracting fractions. Practice listing multiples and identifying the least common multiple. Enhance math skills effectively!

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Exploring Least Common Multiples (LCM) for Students

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  1. Students will be able to: Find the Least Common Multiple (LCM) of 2 whole numbers. Objective

  2. Multiple • The product of a whole number and ANY other whole number. • A multiple of 4 is 8. 4 x 2 =8 so 8 is a multiple of 4.

  3. Least Common Multiple (LCM) Smallest common multiple of 2 or more numbers.

  4. LCM- Least Common Multiple Today we are learning how to find the Least Common Multiple (LCM) between a set of 2 numbers, because this will help us when we start adding and subtracting fractions. Let’s look at the numbers 3 and 4. 3: 3, 6, 9, 12, 15, 18 4: 4, 8, 12 , 16

  5. On your whiteboards, find and circle the Least common multiple for 4 & 9! Try listing out the multiples for 4 starting with 4: 4, 8…. Now try listing out the multiples for 9 starting with 9: 9, 18…. Class Work

  6. Keep going! Try listing out the multiples for 4 starting with 4: 4, 8, 12, 16, 20, 24, 28, 32, 36 Now try listing out the multiples for 9 starting with 9: 9, 18, 27, 36 Class Work

  7. More Practice with LCMs 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 4: 4, 8, 12, 16, 20, 24, 28, 32 We see that 24 is also a common multiple. A set of numbers might have several common multiples, but we are trying to find the Least common multiple. Therefore, even though 12 and 24 are common multiples – 12 is the least common multiple.

  8. Now, you find the LCM! Your Turn…

  9. 6, 10

  10. 30

  11. 4, 50

  12. 100

  13. 3, 5

  14. 15

  15. 9, 15

  16. 45

  17. 9, 6

  18. 18

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