How does one find the common denominator in a fraction?

Apr 16, 2016

See explanation.

Explanation:

The simpliest way to find the common denominator of set of fractions is to multiply all denominators.

Example:

The common denominator of $\frac{1}{2} , \frac{1}{3} , \frac{1}{4}$ can be $2 \cdot 3 \cdot 4 = 24$

As you see the common denominator found this way is not always the lowest one. The lowest common denominator of these values is $12$

For any 2 fractions the lowest common denominator can be calculated as:

$l c d \left(a . b\right) = \frac{a \cdot b}{\gcd} \left(a , b\right)$

where $\gcd$ is the greatest commoin divisor of numbers $a$ and $b$.