The GCF of two numbers is 5. The LCM is 60. One of the numbers is 20. What is the other number?
Did you try 15 and 20 ??
But the LCM would be 30...
lerning
To find the other number, we first need to understand the relationship between the greatest common factor (GCF) and the least common multiple (LCM) of two numbers.
The GCF is the largest number that divides both of the given numbers evenly, while the LCM is the smallest multiple that both numbers have in common.
Given that the GCF is 5 and one of the numbers is 20, we know that 5 is a common factor of both numbers.
Since the LCM is 60, we can write the equation:
GCF × Other Number = LCM
Substituting in the known values:
5 × Other Number = 60
Now we can solve for the other number:
Other Number = 60 ÷ 5
Other Number = 12
Therefore, the other number is 12.