A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2...

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Transcript of A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2...

Page 1: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.
Page 2: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

A multiple of a number is the product of the number and any whole number.

6 x 0 = 0

6 x 1 = 6

6 x 2 = 12

6 x 3 = 18

6 x 4 = 24

6 x 5 = 30

6 x 6 = 36

6 x 7 = 42

6 x 8 = 48

6 x 9 = 54

Page 3: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

0, 6, 12, 18, 24, 30, 36, 42, 48, 54, ...

The multiples of 6 are:

6 x 0 = 0

6 x 1 = 6

6 x 2 = 12

6 x 3 = 18

6 x 4 = 24

6 x 5 = 30

6 x 6 = 36

6 x 7 = 42

6 x 8 = 48

6 x 9 = 54

Page 4: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

The Least Common Multiple is the smallest multiple that two or more numbers have in common.

To find the LCM of two or more numbers you can make a list of multiples or use prime factorization.

Page 5: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Make a list of several multiples of the numbers.Multiples of 4:

0, 4, 8, 12, 16, 20, 24, 28, 32, ...

Multiples of 6:0, 6, 12, 18, 24, 30, 36, ...

Make a list of multiples:

Find the LCM of 4 and 6.

Page 6: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

4, 8, 12, 16, 20, 24, 28, 32, 36, ...

Identify the common multiples of 4 and 6.

6, 12, 18, 24, 30, 36, ...

Page 7: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

4, 8, 12, 16, 20, 24, 28, 32, 36, ...

Identify the common multiples of 4 and 6.

6, 12, 18, 24, 30, 36, ...

Page 8: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

4, 8, 12, 16, 20, 24, 28, 32, 36, ...

Identify the common multiples of 4 and 6.

6, 12, 18, 24, 30, 36, ...

Page 9: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

4, 8, 12, 16, 20, 24, 28, 32, 36, ...

Identify the common multiples of 4 and 6.

6, 12, 18, 24, 30, 36, ...

Page 10: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

4, 8, 12, 16, 20, 24, 28, 32, 36, ...

The common multiples are 12, 24 and 36.

The LCM of 4 and 6 is 12 .

6, 12, 18, 24, 30, 36, ...

LCM = 12

Page 11: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 15 and 9.

15, 30, 45, 60, 75, ...

9, 18, 27, 36, 45, 54, ...

Page 12: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 15 and 9.

15, 30, 45, 60, 75, ...

9, 18, 27, 36, 45, 54, ...

Find the common multiples of 15 and 9.

Page 13: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 15 and 9.

15, 30, 45, 60, 75, ...

9, 18, 27, 36, 45, 54, ...

Find the common multiples of 15 and 9.

Page 14: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 15 and 9.

15, 30, 45, 60, 75, ...

9, 18, 27, 36, 45, 54, ...

The LCM of 15 and 9 is 45.

LCM = 45

Page 15: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 6 and 9.

6, 12, 18, 24, 30, 36, ...9, 18, 27, 36, 45, 54, ...

Page 16: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 6 and 9.

6, 12, 18, 24, 30, 36, ...9, 18, 27, 36, 45, 54, ...

Page 17: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 6 and 9.

6, 12, 18, 24, 30, 36, ...9, 18, 27, 36, 45, 54, ...

Page 18: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 6 and 9.

6, 12, 18, 24, 30, 36, ...9, 18, 27, 36, 45, 54, ...

LCM = 18

Page 19: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 6 and 12.

6, 12, 18, 24, 30, 36, ...

12, 24, 36, ...

Page 20: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 6 and 12.

6, 12, 18, 24, 30, 36, ...

12, 24, 36, ...

Page 21: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 6 and 12.

6, 12, 18, 24, 30, 36, ...

12, 24, 36, ...

Page 22: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 6 and 12.

6, 12, 18, 24, 30, 36, ...

12, 24, 36, ...

LCM = 12

Page 23: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 4, 6 and 8.

4, 8, 12, 16, 20, 24, 28, ...6, 12, 18, 24, 30, 36, ...8, 16, 24, 32, 40, ...

Page 24: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 4, 6 and 8.

4, 8, 12, 16, 20, 24, 28, ...6, 12, 18, 24, 30, 36, ...8, 16, 24, 32, 40, ...

Page 25: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 4, 6 and 8.

4, 8, 12, 16, 20, 24, 28, ...6, 12, 18, 24, 30, 36, ...8, 16, 24, 32, 40, ...

LCM = 24

Page 26: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.
Page 27: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

xx

LCM using prime factorization:Step 1: Prime factor the numbers.

24

2 x2 3

^^ ^

18^6 3

^2 364

2 xx

Page 28: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

x

x

LCM using prime factorization:Step 1: Prime factor the numbers.

24

2 2 x2 3

^^ ^

18^6 3x

^2 3x

24 =

18 =

2 2 2 3

2 3 3

Step 2: Draw a grid and place the factors in the grid.

4 6

Page 29: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

24 =

18 =

2 22 3

2 33

Step 3: Bring one factor down from each column.

LCM =

4 x 2 x 3 x 38 x 3 x 3

24 x 372

2 x 2 2 3 3x x x

Page 30: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

Find the LCM of 16 and 24 using prime factors.

16 = 24 =

2 2 2 2

2 2 2 3

2 2 2 2 3

LCM = 48

x x x x

Page 31: A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6.

2 3

Find the LCM of 6, 8, and 12 using prime factors.

6 = 8 = 12 =

2 2 2

2

LCM = 24

3 2 2

2

x x

3 2

x


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