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## Least Common Multiple and Least Common Denominator

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**Least Common Multiple andLeast Common Denominator**Lesson 4.7**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 = 5, 10, 15, 20, 25, 30 1 + 10 = 10, 20, 30, 40, 50**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