# What is least common multiple of 3, 4, 6, and 8?

Mar 30, 2016

Least Common Multiple of $3$, $4$, $6$ and $8$ is $24$.

#### Explanation:

Multiples of $3$ are $\left\{3 , 6 , 9.12 , 15 , 18 , 21 , 24 , 27 , 30 , 33 , 36 , 39 , 42 , 45 , 48 , 51 , \ldots\right\}$

Multiples of $4$ are $\left\{4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 , 44 , 48 , 52 , \ldots\right\}$

Multiples of $6$ are $\left\{6 , 12 , 18 , 24 , 30 , 36 , 42 , 48 , 54 , \ldots\right\}$

Multiples of $8$ are $\left\{8 , 16 , 24 , 32 , 40 , 48 , 56 , \ldots\right\}$

Hence common multiples are $\left\{24 , 48 , \ldots\right\}$ and

Least Common Multiple of $3$, $4$, $6$ and $8$ is $24$.