Find Least Common Multiple of 15, 35 and 14 by listing out the factors.

LCM( 15, 35, 14 ) = 210

Write down multiples of each number until you find the first common multiple:

The multipliers of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, . . .

The multipliers of 35 are: 35, 70, 105, 140, 175, 210, 245, . . .

The multipliers of 14 are: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, . . .

We can see that:

LCM( 15, 35, 14 ) = 210

This solution can be visualized using a Venn diagram.

The LCM is equal to the product of all the numbers on the diagram.