Question

Find the LCM and HCF of 570 and 92 using Prime factorization method​

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.

Answer 2

Step-by-step explanation:

570= 2 ×3 ×5 ×19

92= 2× 2 ×23

HCF = 2

LCM = 2 ×3 ×5 ×19 ×2 ×23

= 26230