Find Least Common Multiple of 27, 54 and 135 by listing out the factors.
Answer
LCM( 27, 54, 135 ) = 270
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 27 are: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, . . .
The multipliers of 54 are: 54, 108, 162, 216, 270, 324, . . .
The multipliers of 135 are: 135, 270, 405, . . .
We can see that:
LCM( 27, 54, 135 ) = 270
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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