Question

The HCF of two numbers, a and b, is 30, while their LCM is 45. What is the value of (a x b)?​

Answer 1

Answer:

By definition, HCF divides the two numbers perfectly.

By definition, two numbers perfectly divide the LCM.

=> LCM should be a multiple of HCF. ( HCF should be a factor of LCM ).

=> The combination HCF = 30 and LCM = 45 doesn't exist.

The relation HCF x LCM = Product of two numbers should not be blindly appilid

solution

HCF (a, b) = 30

LCM (a, b) = 45

Since, for two numbers

HCF (a, b) × LCM (a, b) = a × b

So,

a × b = 30 × 45 = 1350