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 = 22 x 101
96 = 25 x 3
∴ LCM = 25 x 3 x 101 = 9696
And HCF = 22 = 4
Now LCM x HCF = 9696 x 4
= (25 x 3 x 101) x (22)
= (25 x 3) x (22 x 101)
= 96 x 404
= product of the numbers
Hence verified !