Question

The hcf of 2472, 1284 and a third number â€n’ is 12. If their lcm is 23 Ă— 32 Ă— 51 Ă— 103 Ă— 107, then the number â€n’ is:

Answer 1

2^2 × 3^2 × 5 because
LCM(2472,1284,N)=23×32×5×103×107LCM(2472,1284,N)=23×32×5×103×107

2472=23∗3∗1032472=23∗3∗103

1284=22∗3∗1071284=22∗3∗107

In order to produce required LCM our N should have 3^2 and 5this is your answer i think it may help you