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

2 Answers
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:

#60/60=1#

#60/15=4#

#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, #:.60# is the LCD.

Using prime factors:

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

#LCD=5xx3xx2xx2 =60#