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Least Common Multiple Lesson 3-6
Multiples ,[object Object],[object Object]
Example: List the multiples of 4: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Counting Numbers So, the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, etc.
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
Find the Missing Multiples ,[object Object],[object Object],[object Object],24 30 3 15 18 12 72
Least Common Multiple (LCM) ,[object Object]
EXAMPLE:  Find the LCM of 12 and 18 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
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.
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
Example 3: Find the LCM of 4 and 12 4, 8, 12, 16 12, 24, 36 Answer: 12
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
Homework Time

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3 6

  • 2.
  • 3.
  • 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.
  • 6.
  • 7.
  • 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