Find Least Common Multiple of 150, 360 and 900 by listing out the factors.

LCM( 150, 360, 900 ) = 1800

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

The multipliers of 150 are: 150, 300, 450, 600, 750, 900, 1050, 1200, 1350, 1500, 1650, 1800, 1950, . . .

The multipliers of 360 are: 360, 720, 1080, 1440, 1800, 2160, . . .

The multipliers of 900 are: 900, 1800, 2700, . . .

We can see that:

LCM( 150, 360, 900 ) = 1800

This solution can be visualized using a Venn diagram.

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