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Fraction IXLeast Common Multiple Least Common

Denominator

- By Monica Yuskaitis

Product

- The answer to a multiplication problem.

6 X 6 36

What is the product?

7 X 8 56

What is the product?

8 X 9 72

Multiple

- The product of a whole number multiplied times

any other whole number.

Some multiples of 6 6, 12, 18, 24, 30, 36, 42

Name some multiples of 5

5, 10, 15, 20, 25, 30, 35

Name some multiples of 7

7, 14, 21, 28, 35, 42, 49

Name some multiples of 4

4, 8, 12, 16, 20, 24, 28

Name some multiples of 9

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

Common Multiple

- A number that is a multiple of two or more

numbers.

Some multiples of 3 6 6, 12, 18, 24, 30, 36,

42

What are some Common Multiples for 2 8?

8, 16, 24, 32, 40, 48, 56

What are some Common Multiples for 4 6?

12, 24, 36, 48, 56, 60

What are some Common Multiples for 3 7?

21, 42, 63

What are some Common Multiples for 5 10?

10, 20, 30, 40, 50, 60

Least Common Multiple

- The smallest common multiple of a set of two or

more numbers.

5 5, 10, 15, 20, 25, 30

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

What is the Least Common Multiple of 3 8

3 3, 6, 9, 12, 15, 21, 24

8 8, 16, 24, 32, 40, 48

What is the Least Common Multiple of 4 8

4 4, 8, 12, 16, 20, 24

8 8, 16, 24, 32, 40, 48

What is the Least Common Multiple of 6 8

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

8 8, 16, 24, 32, 40, 48

What is the Least Common Multiple of 4 10

4 4, 8, 12, 16, 20, 24

10 10, 20, 30, 40, 50,

What is the Least Common Multiple of 3 9

3 3, 6, 9, 12, 15, 21,

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

To Add or Subtract Fractions With Unlike

Denominators

- Find the multiples of each denominator.

1

5, 10, 15, 20, 25, 30

5

1

10, 20, 30, 40, 50

10

To Add or Subtract Fractions With Unlike

Denominators

- Compare the lists of multiples. Circle the

common multiples between the two lists.

1

5 5, 10, 15, 20, 25, 30

1

10 10, 20, 30, 40, 50

To Add or Subtract Fractions With Unlike

Denominators

- Use the lowest common multiple as the

denominator.

1

5 5, 10, 15 ,20 ,25 ,30

1

10 10, 20, 30, 40, 50

To Add or Subtract Fractions With Unlike

Denominators

- This number is also called the least common

denominator.

1

5 5, 10, 15 ,20 ,25 ,30

1

10 10, 20, 30, 40, 50

Find the Least Common Denominator or Least Common

Multiple

1

2 2, 4, 6, 8, 10, 12

1

8 8, 16, 24, 32, 40

Find the Least Common Denominator or Least Common

Multiple

1

10 10, 20, 30, 40,

1

8 8, 16, 24, 32, 40

Find the Least Common Denominator or Least Common

Multiple

1

10 10, 20, 30, 40,

1

4 4, 8, 12, 16, 20,

Find the Least Common Denominator or Least Common

Multiple

1

2 2, 4, 6, 8, 10,

1

4 4, 8, 12, 16, 20,

Find the Least Common Denominator or Least Common

Multiple

1

2 2, 4, 6, 8, 10, 12

1

12 12, 24, 36, 48

Find the Least Common Denominator or Least Common

Multiple

1

3 3, 6, 9, 12, 15

1

4 4, 8, 12, 16, 20,

Find the Least Common Denominator or Least Common

Multiple

1

3 3, 6, 9, 12, 15

1

5 5, 10, 15, 20, 25,

Find the Least Common Denominator or Least Common

Multiple

1

3 3, 6, 9, 12, 15

1

9 9, 18, 27, 36, 45,

Shortcut for Finding the Least Common Denominator

or Least Common Multiple

Check to see if the smaller denominator divides

evenly into the larger denominator. If it does,

use the larger denominator for your LCD or LCM.

1

3 will divide evenly into 9, so 9 is your LCD or

LCM.

3

1

9

Shortcut for Finding the Least Common Denominator

or Least Common Multiple

Using the shortcut, what is the LCD or LCM?

1

2 will divide evenly into 4, so 4 is your LCD or

LCM.

2

1

4

Shortcut for Finding the Least Common Denominator

or Least Common Multiple

Using the shortcut, what is the LCD or LCM?

1

2 will divide evenly into 10, so 10 is your LCD

or LCM.

2

1

10

Shortcut for Finding the Least Common Denominator

or Least Common Multiple

Using the shortcut, what is the LCD or LCM?

1

2 will divide evenly into 12, so 12 is your LCD

or LCM.

2

1

12

Shortcut for Finding the Least Common Denominator

or Least Common Multiple

Using the shortcut, what is the LCD or LCM?

1

4 will divide evenly into 8, so 8 is your LCD or

LCM.

4

1

8

Shortcut for Finding the Least Common Denominator

or Least Common Multiple

Using the shortcut, what is the LCD or LCM?

1

3 will divide evenly into 6, so 6 is your LCD or

LCM.

3

1

6

Shortcut for Finding the Least Common Denominator

or Least Common Multiple

Using the shortcut, what is the LCD or LCM?

1

3 will divide evenly into 12, so 12 is your LCD

or LCM.

3

1

12

Shortcut for Finding the Least Common Denominator

or Least Common Multiple

Using the shortcut, what is the LCD or LCM?

1

3 will divide evenly into 15, so 15 is your LCD

or LCM.

3

1

15

Shortcut for Finding the Least Common Denominator

or Least Common Multiple

Using the shortcut, what is the LCD or LCM?

1

3 will not divide evenly into 8, so find the

least common multiple.

3

1

8

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