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Least Common Multiple Lesson 3-6

Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

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Page 1: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

Least Common Multiple

Lesson 3-6

Page 2: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

Multiples A multiple is formed by multiplying a

given number by the counting numbers. The counting numbers are 1, 2, 3, 4, 5,

6, etc.

Page 3: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

Example: List the multiples of 4:

4 x 1 = 4 4 x 2 = 8 4 x 3 = 12 4 x 4 = 16 4 x 5 = 20 4 x 6 = 24

Counting Numbers

So, the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, etc.

Page 4: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

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

Page 5: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

Find the Missing Multiples

6, 12, 18, ____, ____

___, 6, 9, 12, ____, ____, 21

___, 24, 36, 48, 60, ____

24 30

3 15 18

12 72

Page 6: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

Least Common Multiple (LCM)

The least common multiple is the smallest number that is common between two lists of multiples.

Page 7: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

EXAMPLE: Find the LCM of 12 and 18

The multiples of 12:

•12 x 1 = 12

•12 x 2 =24

•12 x 3 = 36

•12 x 4 = 48

•12 x 5 =60

The multiples of 18:

•18 x 1 = 18

•18 x 2 = 36

•18 x 3 = 54

•18 x 4 = 72

•18 x 5 = 90

Page 8: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

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.

Page 9: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

Example 2: Find the LCM of 9 and 10

9, 18, 27, 36, 45, 54, 63, 72

10, 20, 30, 40, 50, 60, 70, 80If 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

Page 10: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

Example 3:Find the LCM of 4 and 12

4, 8, 12, 16

12, 24, 36Answer: 12

Page 11: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

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

Page 12: Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,

Classwork: Practice Finding the LCM and once you’ve gotten at least 20 correct, choose any of the 3 games to play:http://www.aaamath.com/g57i-lcm.html

Homework Timep145, 1-51 ODD