Question

The GCF of two number is 3 and the LCM is 180. If one of the number is 45, what is the other?

Answer 1

Answer:

45 = 3*3*5

180 = 2*2*3*3*5 <---- so the other number had to contain a factor of 2*2 or 4

also, let the other number has to be of the form 3k and it must contain a factor of 4, how about 12 ?

check: lcf of 12 and 45 is 3,

the lcm of 12 and 45 is ...

12 = 2*2*3

45 = 3*3*5

so we need: 2*2*3*3*5 = 180