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L e a s t C o m m o n M u l t I p l e

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L e a s t C o m m o n M u l t I p l e. Multiple. The product you get when a number is multiplied by another number. What is a ?. Example: Multiples of 6 – 6, 12, 18, 24, 30,. (6 x 1) (6 x 2) (6 x 3) (6 x 4) (6 x 5). - PowerPoint PPT Presentation

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Page 1: L e a s t   C o m m o n   M u l t I p l e
Page 2: L e a s t   C o m m o n   M u l t I p l e

What is a ?

The product you get when a number is multiplied by anothernumber.

Example:Multiples of 6 – 6, 12, 18, 24, 30,...

(6 x 1) (6 x 2) (6 x 3) (6 x 4) (6 x 5)

Multiples of 9 - 9, 18, 27, 36, 45,...(9 x 1) (9 x 2) (9 x 3) (9 x 4) (9 x 5)

Page 3: L e a s t   C o m m o n   M u l t I p l e

How many total squares are pictured??

How many total squares are pictured??

44

88

1212

1616

Multiples of 4 are 4, 8, 12,

16…..

Multiples of 4 are 4, 8, 12,

16…..

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Let’s put LEAST COMMON MULTIPLELEAST COMMON MULTIPLE

in our own words

Smallestmultiplethey both have.

Example:

Page 5: L e a s t   C o m m o n   M u l t I p l e

Why don’t we try a couple together!

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Let’s use repeated division!

Let’s use repeated division!

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METHOD 2 Repeated Division

The Least Common Multiple (LCM) is 60

20 3010

2 310 ● 2 ● 3 = 60

Page 8: L e a s t   C o m m o n   M u l t I p l e

METHOD 2 Repeated Division

The Least Common Multiple (LCM) is 20

4 102

2 52 ● 2 ● 5 = 20

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METHOD 2 Repeated Division

The Least Common Multiple (LCM) is 36

12 182

6 93

2 3

2 ● 3 ● 2 ● 3 = 36

Page 10: L e a s t   C o m m o n   M u l t I p l e

What if there are 3 numbers?

Find the LCM of 4,6,and 8

Page 11: L e a s t   C o m m o n   M u l t I p l e

METHOD 2 Repeated Division

The Least Common Multiple (LCM) is 24

4 6 82

2 3 42

1 3 2

2 ● 2 ● 1 ● 3 ● 2 = 24

**Keep dividing until all bottom numbers are

only divisible by one**

**Keep dividing until all bottom numbers are

only divisible by one**

Just bring down the number

that is not being

divided

Just bring down the number

that is not being

divided

Page 12: L e a s t   C o m m o n   M u l t I p l e

METHOD 2 Repeated Division

The Least Common Multiple (LCM) is 12

4 6 122

2 3 63

2 1 2

2 ● 3 ● 2 ● 1 ● 1 ● 1 = 12

**Keep dividing until all bottom numbers are

only divisible by one**

**Keep dividing until all bottom numbers are

only divisible by one**

Just bring down the number

that is not being

divided

Just bring down the number

that is not being

divided

2

1 1 1

Page 13: L e a s t   C o m m o n   M u l t I p l e

ASSIGNMENT!•Finding the LCM WS

You can do it!!

You can do it!!

Yeah! Try your

best!

Yeah! Try your

best!

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