# What is the least common multiple of 3, 4, and 5?

Jul 13, 2017

$\therefore L C M = 3 \times 4 \times 5 = 60$

#### Explanation:

It is not necessary to break these values into their prime factors.
We can find the LCM by inspection.

$3 \mathmr{and} 5$ are already prime, but we should notice that $3 , 4 \mathmr{and} 5$ do not have any common factors at all.

The LCM must be divisible by all them, so there needs to be a $3$, a $4$ and a $5$.

$\therefore L C M = 3 \times 4 \times 5 = 60$

The LCM of any numbers is found from their product divided by any common factors to avoid duplicates.