Question

16) The LCM of two numbers is 108 and their GCD is 18.If both the numbers are greater than 30.Find the two
numbers.​

Answer 1

Step-by-step explanation:

I did not no answer please ask others to

Answer 2

If the LCM of the two numbers is 108,

That means both numbers have to be factors of 108. So each number could be 1, 2, 3, 4, 6, 9, 12, 18., 27, 36, 54, 108.

If the GCD of the two numbers is 18,

That means both numbers are divisible by 18. So each number could be 18, 36, 54, 72, ... etc.

When we overlap these two restrictions,

We see that the only values common to both sets are 18, 36, 54 and 108.

So our possible pairs are  ( 18 ,18 ) ,(18 , 36 ) ,(18,54),(18,108),(36,54),(36,108), or (54,108).

only one of these pairs has both an LCM of 108 and a GCF of 18.

That pair is  (  18,108 ) .