wiki is helping his mom carry food to their home in haiti. he wants to balance the food in each...
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Wiki is helping his mom carry food to their home in Wiki is helping his mom carry food to their home in Haiti. He wants to balance the food in each basket Haiti. He wants to balance the food in each basket equally. equally.
He needs to bring home 5 pound bags of rice and 3 He needs to bring home 5 pound bags of rice and 3 pound bags of corn. How many bags of each should he pound bags of corn. How many bags of each should he carry to make it even?carry to make it even?
5 lbs rice 3 lbs corn
Chapter 2Chapter 2Least Common Least Common
MultipleMultiple
(Least Common (Least Common Denominator)Denominator)
ProductProduct
The answer to a The answer to a multiplication problem.multiplication problem.
6 X 6 = 36
What is the product?What is the product?
7 X 8 = 56
What is the product?What is the product?
8 X 9 = 72
MultipleMultiple
The product of a whole number The product of a whole number multiplied times any other whole multiplied times any other whole number.number.
Some multiples of 6 6, 12, 18, 24, 30, 36, 42
Name some multiples of Name some multiples of 55
5, 10, 15, 20, 25, 30, 35
Name some multiples of Name some multiples of 77
7, 14, 21, 28, 35, 42, 49
Common MultipleCommon Multiple A number that is a multiple of A number that is a multiple of
two or more numbers. It is the two or more numbers. It is the same multiple for each.same multiple for each.
List some multiples of 3 & 6
3- 3, 6, 9, 12
6- 6, 12, 18, 24
Least Common MultipleLeast Common Multiple
The smallest common The smallest common multiple of a set of two or multiple of a set of two or more numbers.more numbers.
6 = 6, 12, 18, 24, 30, 36
5 = 5, 10, 15, 20, 25, 30
1. List some multiples of 2 & 8.1. List some multiples of 2 & 8.
2. Compare the lists of 2. Compare the lists of multiples. multiples. 3. Circle the least common 3. Circle the least common multiple between the two lists.multiple between the two lists.
2- 2, 4, 6, 8, 10, 12, 14 8- 8, 16, 24, 32
1. List some multiples of 4 & 6.1. List some multiples of 4 & 6.
2. Compare the lists of 2. Compare the lists of multiples. multiples. 3. Circle the least common 3. Circle the least common multiple between the two lists.multiple between the two lists.
4- 4, 8,12, 16
6- 6, 12, 18, 24
1. List some multiples of 3 & 7.1. List some multiples of 3 & 7.
2. Compare the lists of 2. Compare the lists of multiples. multiples. 3. Circle the least common 3. Circle the least common multiple between the two lists.multiple between the two lists.
3- 3, 6, 9, 12, 15, 18, 21
7- 7, 14, 21, 28
1. List some multiples of 3 & 8.1. List some multiples of 3 & 8.
2. Compare the lists of 2. Compare the lists of multiples. multiples. 3. Circle the least common 3. Circle the least common multiple between the two lists.multiple between the two lists.
8 = 8, 16, 24, 32, 40, 48 3 = 3, 6, 9, 12, 15, 21, 24
1. List some multiples of 4 & 8.1. List some multiples of 4 & 8.
2. Compare the lists of 2. Compare the lists of multiples. multiples. 3. Circle the least common 3. Circle the least common multiple between the two lists.multiple between the two lists.
8 = 8, 16, 24, 32, 40, 48 4 = 4, 8, 12, 16, 20, 24
Shortcut for Finding the Least Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon Multiple
2-
4-
2 will divide evenly into 4, so 4 is your LCM.Using the shortcut, what is the LCM?
Shortcut for Finding the Least Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon Multiple
3-
12-
Using the shortcut, what is the LCD or LCM?
3 will divide evenly into 12, so 12 is your LCD or LCM.
Shortcut for Finding the Least Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon Multiple
3-
8-
Using the shortcut, what is the LCD or LCM?
3 will not divide evenly into 8, so find the least common multiple.
Tower method of finding Tower method of finding LCM.LCM.1. Divide by prime numbers only.1. Divide by prime numbers only.
2. Multiply them by the remainders on 2. Multiply them by the remainders on top.top.
1414 3030
Tower method of finding Tower method of finding LCM.LCM.1. Divide by prime numbers only.1. Divide by prime numbers only.
2. Multiply them by the remainders on 2. Multiply them by the remainders on top.top.
3030 1515
Tower method of finding Tower method of finding LCM.LCM.1. Divide by prime numbers only.1. Divide by prime numbers only.
2. Multiply them by the remainders on 2. Multiply them by the remainders on top.top.
2020 4848
Tower method of finding Tower method of finding LCM.LCM.
1. 1. With 3 #’s, you must remove prime #’s that With 3 #’s, you must remove prime #’s that are common to all. are common to all.
2. Then remove prime #’s common to 2 of them. 2. Then remove prime #’s common to 2 of them. Bring up the other number. Bring up the other number.
88 1212 1616
Tower method of finding Tower method of finding LCM.LCM.
1515 2424 30 30
Tower method of finding Tower method of finding LCM.LCM.
Both ways work!Both ways work!
66 8 8 99 6 6 8 8 9 9