# What is the lcd of 5,15,and 60?

Apr 10, 2018

60

#### Explanation:

LCD means the lowest common denominator, in this case, you are given $5 , 15 , 60$.

60 is the lowest number divisible by the group of numbers given:

$\frac{60}{60} = 1$

$\frac{60}{15} = 4$

$\frac{60}{5} = 12$

So therefore, 60 would be the LCD

Apr 10, 2018

$60$

#### Explanation:

The LCD is the same as the LCM.

This means, what is the smallest number that can be divided by 5,15 and 60?

You can do this by knowing the factors of $60$
$60$ is divisible by $15$ which is divisible by $5$.

So we do not need to look any further. $60$ is divisible by all of them, $\therefore 60$ is the LCD.

Using prime factors:

$\text{ } 5 = 5$
$\text{ } 15 = 5 \times 3$
$\text{ } 60 = 5 \times 3 \times 2 \times 2$

$L C D = 5 \times 3 \times 2 \times 2 = 60$