Question

Find the smallest value of n such that the LCM of n and 15 is 45

Answer 1

Answer:

The smallest number n such that L.C.M. of n and 15 is 45 is n = 9

Step-by-step explanation:

Given that : L.C.M. of n and 15 is given to be 45

We need to find the smallest value for such n

First find the factors for 45

⇒ 45 = 9 × 5 = 3 × 3 × 5

Now, L.C.M. of 3 and 15 is 3 (rejected)

L.C.M . of 5 and 15 is 15 (rejected)

L.C.M. of 9 and 15 is 45

So, The smallest number n such that L.C.M. of n and 15 is 45 is n = 9