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Fraction IX Least Common Multiple Least Common Denominator

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Fraction IXLeast Common Multiple Least Common Denominator

- The answer to a multiplication problem.

6 X 6 = 36

7 X 8 = 56

8 X 9 = 72

- The product of a whole number multiplied times any other whole number.

Some multiples of 6

6, 12, 18, 24, 30, 36, 42

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

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

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

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

- A number that is a multiple of two or more numbers.

Some multiples of 3 & 6

6, 12, 18, 24, 30, 36, 42

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

12, 24, 36, 48, 56, 60

21, 42, 63

10, 20, 30, 40, 50, 60

- 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

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

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

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

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

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

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

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

10 = 10, 20, 30, 40, 50,

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

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

- Find the multiples of each denominator.

1

5

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

1

+

10

= 10, 20, 30, 40, 50

- 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

- Use the lowest common multiple as the denominator.

1

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

1

+

10 = 10, 20, 30, 40, 50

- This number is also called the least common denominator.

1

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

1

+

10 = 10, 20, 30, 40, 50

1

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

1

+

8 = 8, 16, 24, 32, 40

1

10 = 10, 20, 30, 40,

1

+

8 = 8, 16, 24, 32, 40

1

10 = 10, 20, 30, 40,

1

+

4 = 4, 8, 12, 16, 20,

1

2 = 2, 4, 6, 8, 10,

1

+

4 = 4, 8, 12, 16, 20,

1

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

1

+

12 = 12, 24, 36, 48

1

3 = 3, 6, 9, 12, 15

1

+

4 = 4, 8, 12, 16, 20,

1

3 = 3, 6, 9, 12, 15

1

+

5 = 5, 10, 15, 20, 25,

1

3 = 3, 6, 9, 12, 15

1

+

9 = 9, 18, 27, 36, 45,

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

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

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

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

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

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

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

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

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