About LCM:
When we multiply a number by each non-zero whole number, we obtain a list known as the multiples of that number. When we do this for several numbers, we can compare those lists to look for a common multiple that has the lowest value. This is known as the least common multiple or LCM.
Test Objectives
- Demonstrate the ability to generate the multiples of a number
- Demonstrate the ability to find the LCM using the listing method
- Demonstrate the ability to find the LCM using the prime factorization of each number
#1:
Instructions: Find the LCM by listing the multiples of each number.
a) LCM(4, 10)
b) LCM(6, 21)
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#2:
Instructions: Find the LCM.
a) LCM(15, 18)
b) LCM(14, 63)
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#3:
Instructions: Find the LCM.
a) LCM(24, 81, 156)
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#4:
Instructions: Find the LCM.
a) LCM(121, 165, 231)
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#5:
Instructions: Find the LCM.
a) LCM(550, 150, 225)
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Written Solutions:
#1:
Solutions:
a) LCM(4, 10) = 20
b) LCM(6, 21) = 42
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#2:
Solutions:
a) LCM(15, 18) = 90
b) LCM(14, 63) = 126
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#3:
Solutions:
a) LCM(24, 81, 156) = 8424
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#4:
Solutions:
a) LCM(121, 165, 231) = 12,705
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#5:
Solutions:
a) LCM(550, 150, 225) = 4950
