Question

180 is the lcm of 12 and a number, N .What are the possible values of N ?

Answer 1

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 2

45 ,90

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* 2* 3* 3* 5`

`12=2* 2* 3`

`45=3* 3* 5`

`90=2* 3* 3* 5`

LCM(12,45)=
`2* 2* 3* 3* 5=180`

LCM(12,90)=
`2* 2* 3* 3* 5=180`

LCM of 12 and 45 is 180

LCM of 12 and 90 is 180.

Hence, possible of N is 45 and 90.