Verified Answer :

180 is the least common multiple of 12 and 45 or 90:

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, ...
45, 90, 135, 180, 225, ...
90, 180, 270, ...

Answer:

45 ,90

Step-by-step explanation:

We are given that LCM of 12 and  number  N is 180.

In order to find the number we will find the factors of 180 and 12

\(180=2\times 2\times 3\times 3\times 5\)

\(12=2\times 2\times 3\)

\(45=3\times 3\times 5\)

\(90=2\times 3\times 3\times 5\)

LCM(12,45)=\(2\times 2\times 3\times 3\times 5=180\)

LCM(12,90)=\(2\times 2\times 3\times 3\times 5=180\)

LCM of 12 and 45 is 180

LCM of 12 and 90 is 180.

Hence, possible of  N is 45 and 90.