Find Least Common Multiple of 14 and 25 by listing out the factors.

LCM( 14, 25 ) = 350

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, 308, 322, 336, 350, 364, . . .

The multipliers of 25 are: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, . . .

We can see that:

LCM( 14, 25 ) = 350

This solution can be visualized using a Venn diagram.

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