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5-3:Least Common Multiple

5-3:Least Common Multiple. Finding the Least Common Multiple. When finding multiples , you can list all of the products after multiplying it by 1, 2, 3, 4…. For example,. Multiples of 4:. 4, 8, 12, 16, 20, 24, 28, 32, …. Multiples of 6:. 6, 12, 18, 24, 30, 36, 42, 48, …. Multiples of 8:.

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5-3:Least Common Multiple

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  1. 5-3:Least Common Multiple

  2. Finding the Least Common Multiple When finding multiples, you can list all of the products after multiplying it by 1, 2, 3, 4… For example, Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, … Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, … Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, … DISCUSS: For the multiples of 4, 6, and 8, which multiples are common with all three?

  3. Finding the Least Common Multiple Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, … Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, … So, we see a common multiple of 24, but there are more common multiples. Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, … Since 24 is the smallest value of all of the common multiples, it is considered the Least Common Multiplefor 4, 6, and 8.

  4. Using the Cake Method to find LCM 6 3 4 2 Find the LCM for 4 and 6 2 Multiply all of the side numbers AND the last rowto find the LCM 2 • 2 • 3 The LCM is 12.

  5. Using the Cake Method to find LCM 6a2c 3a2c 3ac 3c 4a3b 2a3b 2a2b 2ab Find the LCM for 4a3b and 6a2c 2 a a 2 • a • a • 2ab • 3c The LCM is 12a3bc.

  6. Finding the LCM of three or more numbers 6 3 2 8 12 3 4 2 Find the LCM for 4, 6, and 8 2 4 First find the LCM of two of the numbers Then use the first LCM and the third number 2 • 2 • 3 LCM is 12 4 • 3 • 2 The LCM is 24.

  7. You try: Find the LCM of 125, 500 500

  8. You try: Find the LCM of

  9. Homework • Page 231 (20-42) even (ignore the directions in the book and just use the cake method to find the LCM)

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