Find Least Common Multiple of 5 and 12 by listing out the factors.
Answer
LCM( 5, 12 ) = 60
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, . . .
The multipliers of 12 are: 12, 24, 36, 48, 60, 72, . . .
We can see that:
LCM( 5, 12 ) = 60
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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