Find Least Common Multiple of 24, 40 and 60 by listing out the factors.
Answer
LCM( 24, 40, 60 ) = 120
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 24 are: 24, 48, 72, 96, 120, 144, . . .
The multipliers of 40 are: 40, 80, 120, 160, . . .
The multipliers of 60 are: 60, 120, 180, . . .
We can see that:
LCM( 24, 40, 60 ) = 120
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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