Find Least Common Multiple of 24, 16 and 64 by listing out the factors.
Answer
LCM( 24, 16, 64 ) = 192
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 24 are: 24, 48, 72, 96, 120, 144, 168, 192, 216, . . .
The multipliers of 16 are: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, . . .
The multipliers of 64 are: 64, 128, 192, 256, . . .
We can see that:
LCM( 24, 16, 64 ) = 192
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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