Question

The product of two integers is 2,17,728 and LCM (, ) = 42 × HCF(, ). Find the HCF

and LCM of and .


PLS GIVE ME ANS.​

Answer 1

Answer:

Dear student

Product of two numbers x and y = 217728

LCM of x and y = 42 (HCF of x and y)

Let the HCF of x and y be a.

Then LCM = 42 x a = 42a.

Product of LCM and HCF of two numbers = Product of the numbers.

42a x a = 217728

42a2 = 217728

a2 = (217728) / (42)

a2 = 5184

a = 72

Therefore, HCF of the numbers is 72 and LCM is (42 x 72) i.e.3024.

Regards