Question

find the value of n if the lcm of 12 and n is 36
Please tell me the step by step explanation ​

Answer 1

Answer:

Think of what LCM means before going ahead. If I say LCM of two numbers is , it means that at least one of them must have a and at least one of them must have a (It is not possible that both numbers have just 3 because then, the LCM would have just 3, not 9)

If one number is , the other number A must have since 12 doesn't have it.

So minimum value of A will be 9. A can also have a 2 or a so other possible values are and

Also, A cannot have any other factors since if it did, then the LCM would have to have that factor too.