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Fraction IX Least Common Multiple Least Common Denominator. 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.

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Fraction ix least common multiple least common denominator

Fraction IXLeast Common Multiple Least Common Denominator


Product
Product

  • The answer to a multiplication problem.

6 X 6 = 36




Multiple
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
Name some multiples of 5

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


Name some multiples of 7
Name some multiples of 7

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


Name some multiples of 4
Name some multiples of 4

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


Name some multiples of 9
Name some multiples of 9

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


Common multiple
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






Least common multiple
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
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
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
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
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
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
To Add or Subtract Fractions With Unlike Denominators

  • Find the multiples of each denominator.

1

5

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

1

+

10

= 10, 20, 30, 40, 50


To add or subtract fractions with unlike denominators1
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 denominators2
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 denominators3
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
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 multiple1
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 multiple2
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 multiple3
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 multiple4
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 multiple5
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 multiple6
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 multiple7
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
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 multiple1
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 multiple2
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 multiple3
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 multiple4
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 multiple5
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 multiple6
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 multiple7
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 multiple8
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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