Find Least Common Multiple of 25 and 16 by listing out the factors.
Answer
LCM( 25, 16 ) = 400
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 25 are: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, . . .
The multipliers of 16 are: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, . . .
We can see that:
LCM( 25, 16 ) = 400
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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