Question

3

Let A and B be two positive integers (whole numbers). The
greatest common factor (GCF) of A and B is 12, and the
lowest common multiple (LCM) of A and B is 180. The value
of A is 36. What is the value of B ?

Answer 1

B = 60

Explanation:

A = 36

B = 60

We are told that the LCM of A and be is 180. That would mean that 180/36 = 5

greatest common factor (GCF) of A and B is 12. Multiply this by the GCF of 12 to get 60.

Check to see if this works:

The GCF of 12: 60/12 = 5 and 36/12 = 3: Checks

The LCM of 180: 180/36 = 5; 5*36 = 180 and 3*60 = 1180; Checks