# What is the least common denominator of 1/2, 1/4, and 3/8?

Mar 5, 2018

The least common denominator is $8$

#### Explanation:

Given: $\frac{1}{2} , \frac{1}{4} , \frac{3}{8}$. Find the least common denominator

The least common denominator is the Least Common Multiple (LCM) of the three denominators.

To find the LCM, write multiples of the three denominators:
$2 : 2 , 4 , 6 , \textcolor{red}{8} , 10 , 12 , \ldots$

$4 : 4 , \textcolor{red}{8} , 12 , 16 , 20 , \ldots$

$8 : \textcolor{red}{8} , 16 , 24 , 32 , \ldots$

The LCM is the smallest multiple that is common to all three: $8$

This means the least common denominator is $8$

Mar 5, 2018

$L C M = 8$

#### Explanation:

In this case you should notice that $2 \mathmr{and} 4$ are both factors of $8$.

$8$ is therefore the LCM because it is divisible by all three denominators.