Find the LCM of Denominators: Calculating LCM(3, 4, 6)

The least common multiple (LCM) of $3, 4, \text{ and } 6$ is the smallest positive integer that is divisible by each of these numbers.

First, list the multiples of each number:

• Multiples of $3$: 3, 6, 9, 12, 15, 18, 21, 24, ...
• Multiples of $4$: 4, 8, 12, 16, 20, 24, ...
• Multiples of $6$: 6, 12, 18, 24, ...

The common multiples of $3, 4, \text{ and } 6$ are 12, 24, ...

The smallest common multiple is $24$.