Find Least Common Multiple of 2, 4 and 7 by listing out the factors.
Answer
LCM( 2, 4, 7 ) = 28
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, . . .
The multipliers of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, . . .
The multipliers of 7 are: 7, 14, 21, 28, 35, . . .
We can see that:
LCM( 2, 4, 7 ) = 28
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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