Find Least Common Multiple of 4, 6 and 15 by listing out the factors.
Answer
LCM( 4, 6, 15 ) = 60
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, . . .
The multipliers of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, . . .
The multipliers of 15 are: 15, 30, 45, 60, 75, . . .
We can see that:
LCM( 4, 6, 15 ) = 60
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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