Find Least Common Multiple of 540 and 504 by listing out the factors.
Answer
LCM( 540, 504 ) = 7560
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 540 are: 540, 1080, 1620, 2160, 2700, 3240, 3780, 4320, 4860, 5400, 5940, 6480, 7020, 7560, 8100, . . .
The multipliers of 504 are: 504, 1008, 1512, 2016, 2520, 3024, 3528, 4032, 4536, 5040, 5544, 6048, 6552, 7056, 7560, 8064, . . .
We can see that:
LCM( 540, 504 ) = 7560
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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