Question

find the smallest value of n such that the lcm of n and 15 is 45​

Answer 1

Answer:

3

Step-by-step explanation

Answer 2

Answer:

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

The prime factors of 15 are

15 = 3 x 5

So in LCM of n and 15 , we must include both the prime factors and the LCM is 45.

Since 3 is one time in the prime factor of 15. But to make 45 we need one more 3 and its possible if we take the value of n as below"

n=9

9 = 3 x 3 = 3²

Hence the LCM will be

3² x 5 = 45

Hence the smallest possible value of n is 9.

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