Question

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

Answer 1

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:

`60/60=1`

`60/15=4`

`60/5=12`

So therefore, 60 would be the LCD

Answer 2

`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, `:.60` is the LCD.

Using prime factors:

`" "5 = 5`
`" "15 = 5 xx 3`
`" "60 =5xx3xx2xx2`

`LCD=5xx3xx2xx2 =60`