Find Least Common Multiple of 15, 30 and 60 by listing out the factors.
Answer
LCM( 15, 30, 60 ) = 60
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 15 are: 15, 30, 45, 60, 75, . . .
The multipliers of 30 are: 30, 60, 90, . . .
The multipliers of 60 are: 60, 120, . . .
We can see that:
LCM( 15, 30, 60 ) = 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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