Hcf and lcm of 96 and 404 and verify

Asked by admin @ 17/08/2021 in Math viewed by 285 People

Find HCF×LCM of 96 and 404. Also verify HCF×LCM =product of two number

Answered by admin @ 17/08/2021

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

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