LCM( 4, 9, 12 ) = 36
Write down multiples of each number until you find the first common multiple:
The multipliers of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, . . .
The multipliers of 9 are: 9, 18, 27, 36, 45, . . .
The multipliers of 12 are: 12, 24, 36, 48, . . .
We can see that:
LCM( 4, 9, 12 ) = 36
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.