**Q) **Find the LCM and HCF of 404 and 96 and verify that LCM x HCF = product of the two numbers.120.

**Ans: **

By prime factorisation, we get:

404 = 2^{2} x 101

96 = 2^{5} x 3

∴ LCM = 2^{5} x 3 x 101 = 9696

And HCF = 2^{2} = 4

Now LCM x HCF = 9696 x 4

= (2^{5} x 3 x 101) x (2^{2})

= (2^{5} x 3) x (2^{2} x 101)

= 96 x 404

**= product of the numbers**

**Hence verified !**