Download - 5 Least Common Multiple
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Checking of Assignment
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Drill: Give the greatest common factors of each of the following:
–16–32
»28»42
• 55• 99
• 36• 48
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Sing the song…
• What is the song all about?• Do you have friends? Who
are they?• What are the things you do
together?
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Problem Opener:
• Linda wants to buy her friends different kinds of candies. One type of candies is sold in packages of 6 pieces, other of 4 pieces and the third type in packages of 3 pieces. If Linda wants to buy the same amount for each type of candy, what is the smallest number of packages of candy that she can buy?
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Using Listing the Multiples and Prime Factorization
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•What is multiple? •How do we get the least common multiple of a set of numbers?
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Multiple
• A multiple of a number is the product of that number and any other whole number.– 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60…– 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120…
LCM = 12
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Find the LCM by listing the multiples:
• 21 and 15• 12 and 10• 16 and 20• 4 and 9• 15 and 35• 8, 12 and 20
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Determine the LCM of the following:
a. 10 and 25
b. 20 and 50
c. 42 and 48
d. 20 and 45
e. 24 and 18
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Write the GCF and LCM of each set of numbers use prime factorization.
1. 15 and 30 GCF= ____ LCM=____
2. 21 and 45 GCF= ____ LCM=____
3. 16 and 24 GCF= ____ LCM=____
4. 12 and 32 GCF= ____ LCM=____
5. 8 and 12 GCF= ____ LCM=____