Question

Find HCF and LCM of 404 and 96 and verify that HCF ×LCM=Product of the given numbers.

Answer 1

Here given two numbers 96 and 404 .
HCF of 96 and 404 :
Factors of 96 = 2 × 2 × 2 × 2 × 2 × 3
Factors of 404 = 2 × 2 × 101

Hence, common factors of 96 and 404 = 2 × 2 = 4
so, HCF of 96 and 404 = 4

Now, LCM of 96 and 404 : we know, LCM means lowest common multiple .
so, LCM of 96 and 404 = 2 × 2 × 2 × 2 × 2 × 3 × 101 = 3636

verify : LCM × HCF = 9696 × 4 = 38784
product of numbers = 96 × 404 = 38784
hence,LCM × HCF = product of numbers