Find Least Common Multiple of 7 and 12 by listing out the factors.
Answer
LCM( 7, 12 ) = 84
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, . . .
The multipliers of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, . . .
We can see that:
LCM( 7, 12 ) = 84
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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