Question

find the lcm and hcf of integers of 510and 90 by using prime factorisation ​

Answer 1

Explanation:

Prime factorisation of 510=2×3×5×17

Prime factorisation of 92=2×2×23

Hence, LCM of 510,92=2×3×5×17×2×23=23460

And HCF of 510,92=2

Now, LCM × HCF =23460×2=46920

Also, 510×92=46920

i.e., HCF × LCM = Product of the two numbers