Question

Find the LCM and HCF by prime factorisation method.
510 and 92
(Class 10, Chapter 1 : Real Number)

Answer 1

Step-by-step explanation:

510=2×5×3×17

92=2×2×23

LCM(510,92)=Product of greatest power of each factor

=2×2×3×5×17×23

=23,460

HCF(510,92)=Product of lowest power if each common factor

=2

We know that LCM×HCF=Product of the numbers

So,LCM×HCF=23,460×2=46,920

Product of the two numbers=510×92=46,920

Hence,relation between LCM and HCF and numbers is verified.