Question

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

Answer 1

Answer:

The smallest number is 9

Step-by-step explanation:

Given : Numbers n and 15 and LCM is 45.

To find : The smallest value of n.

Solution :

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

Step 1: Prime factorization of 45

$45 =9 \times5 = 3 \times 3 \times5$

Step 2: LCM of 15 and 3 = 15

Step 3: LCM of 15 and 5 = 15

Step 4: LCM of 15 and 9 = 45 (check)

Therefore, The smallest number is 9.

Answer 2

Answer:

the answer is 9

Step-by-step explanation:

15 and 3 = 15

15 and 5 =15

15 and 9 = 45