Question

Find the HCF and LCM of 406 and 96 and verify HCF×lcm=product of two numbers.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The HCF and LCM of 406 and 96 are 9696 and 4 and HCF × LCM  is equal to product of two numbers.

Given that,

We have to find the HCF and LCM of 406 and 96 and verify HCF × LCM  is equal to product of two numbers.

We know that,

Let us take a=404 and b=96

Writing the numbers in terms of product of prime numbers

404=2×2×101

96=2×2×2×2×2×3

So,

LCM of 404 and 96 is 2×2×2×2×2×101×3=9696

Then,

HCF of 404 and 96 is 2×2=4

Now,

HCF×LCM = 4×9696 = 38784

Product of two given numbers 404×96=38784

Therefore, HCM × LCM is the product of two numbers.

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