# What is the least common denominator of 6, 15, 40?

Nov 10, 2016

You'll have to factorize into primes first:

#### Explanation:

$6 = 2 \times 3$
$15 = 3 \times 5$
$40 = 2 \times 2 \times 2 \times 5$
Then you take all factors to the highest power present in each one of them:
$2 \times 2 \times 2 \times 3 \times 5 = 120$

$120 \div 6 = 20 = 2 \times 2 \times 5$
$120 \div 15 = 8 = 2 \times 2 \times 2$
$120 \div 40 = 3$