Find Least Common Multiple of 14, 35 and 56 by listing out the factors.

LCM( 14, 35, 56 ) = 280

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

The multipliers of 14 are: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, . . .

The multipliers of 35 are: 35, 70, 105, 140, 175, 210, 245, 280, 315, . . .

The multipliers of 56 are: 56, 112, 168, 224, 280, 336, . . .

We can see that:

LCM( 14, 35, 56 ) = 280

This solution can be visualized using a Venn diagram.

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