Find Least Common Multiple of 6, 12 and 18 by listing out the factors.
Answer
LCM( 6, 12, 18 ) = 36
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 6 are: 6, 12, 18, 24, 30, 36, 42, . . .
The multipliers of 12 are: 12, 24, 36, 48, . . .
The multipliers of 18 are: 18, 36, 54, . . .
We can see that:
LCM( 6, 12, 18 ) = 36
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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