Find Least Common Multiple of 3, 15 and 25 by listing out the factors.
Answer
LCM( 3, 15, 25 ) = 75
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, . . .
The multipliers of 15 are: 15, 30, 45, 60, 75, 90, . . .
The multipliers of 25 are: 25, 50, 75, 100, . . .
We can see that:
LCM( 3, 15, 25 ) = 75
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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