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

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.