Find Least Common Multiple of 576 and 24 by listing out the factors.
Answer
LCM( 576, 24 ) = 576
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 576 are: 576, 1152, . . .
The multipliers of 24 are: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, . . .
We can see that:
LCM( 576, 24 ) = 576
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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