Find Least Common Multiple of 4, 8 and 12 by listing out the factors.
Answer
LCM( 4, 8, 12 ) = 24
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 4 are: 4, 8, 12, 16, 20, 24, 28, . . .
The multipliers of 8 are: 8, 16, 24, 32, . . .
The multipliers of 12 are: 12, 24, 36, . . .
We can see that:
LCM( 4, 8, 12 ) = 24
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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