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**Fraction IX Least Common Multiple Least Common Denominator**

By Monica Yuskaitis

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Product The answer to a multiplication problem. 6 X 6 = 36

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What is the product? 7 X 8 = 56

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What is the product? 8 X 9 = 72

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

The product of a whole number multiplied times any other whole number. Some multiples of 6 6, 12, 18, 24, 30, 36, 42

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Name some multiples of 5 5, 10, 15, 20, 25, 30, 35

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Name some multiples of 7 7, 14, 21, 28, 35, 42, 49

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Name some multiples of 4 4, 8, 12, 16, 20, 24, 28

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Name some multiples of 9 9, 18, 27, 36, 45, 54, 63

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**Some multiples of 3 & 6 6, 12, 18, 24, 30, 36, 42 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

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**What are some Common Multiples for 2 & 8?**

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

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**What are some Common Multiples for 4 & 6?**

12, 24, 36, 48, 56, 60

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**What are some Common Multiples for 3 & 7?**

21, 42, 63

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**What are some Common Multiples for 5 & 10?**

10, 20, 30, 40, 50, 60

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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

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**What is the Least Common Multiple of 3 & 8**

3 = 3, 6, 9, 12, 15, 21, 24 8 = 8, 16, 24, 32, 40, 48

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**What is the Least Common Multiple of 4 & 8**

4 = 4, 8, 12, 16, 20, 24 8 = 8, 16, 24, 32, 40, 48

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**What is the Least Common Multiple of 6 & 8**

6 = 6, 12, 18, 24, 30, 36 8 = 8, 16, 24, 32, 40, 48

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**What is the Least Common Multiple of 4 & 10**

4 = 4, 8, 12, 16, 20, 24 10 = 10, 20, 30, 40, 50,

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**What is the Least Common Multiple of 3 & 9**

3 = 3, 6, 9, 12, 15, 21, 9 = 9, 18, 27, 36, 45, 54

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**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

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**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

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**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

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**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

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**Find the Least Common Denominator or Least Common Multiple**

1 2 = 2, 4, 6, 8, 10, 12 1 + 8 = 8, 16, 24, 32, 40

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**Find the Least Common Denominator or Least Common Multiple**

1 10 = 10, 20, 30, 40, 1 + 8 = 8, 16, 24, 32, 40

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**Find the Least Common Denominator or Least Common Multiple**

1 10 = 10, 20, 30, 40, 1 + 4 = 4, 8, 12, 16, 20,

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**Find the Least Common Denominator or Least Common Multiple**

1 2 = 2, 4, 6, 8, 10, 1 + 4 = 4, 8, 12, 16, 20,

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**Find the Least Common Denominator or Least Common Multiple**

1 2 = 2, 4, 6, 8, 10, 12 1 + 12 = 12, 24, 36, 48

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**Find the Least Common Denominator or Least Common Multiple**

1 3 = 3, 6, 9, 12, 15 1 + 4 = 4, 8, 12, 16, 20,

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**Find the Least Common Denominator or Least Common Multiple**

1 3 = 3, 6, 9, 12, 15 1 + 5 = 5, 10, 15, 20, 25,

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**Find the Least Common Denominator or Least Common Multiple**

1 3 = 3, 6, 9, 12, 15 1 + 9 = 9, 18, 27, 36, 45,

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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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Least Common Multiple Least Common Denominator

Least Common Multiple Least Common Denominator

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