Question

Find $HCF$ and $LCM$ of $404$ and $96$ and verify that $HCF\times LCM=$ product of the two given numbers.

Answer 1

Let $a=404$ and $b=96$
Expressing the number as a product of prime number

$404=2\times 2\times 101$
$96=2\times 2\times 2\times 2\times 2\times 3$

$\therefore$ LCM of 404 and 96 is $2\times 2\times 2\times 2\times 2\times 101\times 3=9696$

$\therefore$ HCF of 404 and 96 is $2\times 2=4$

Now, $HCF\times LCM=4\times 9696=38784$

Product of two given numbers $404\times 96=38784$

Hence $HCM\times LCM=$ Product of two given numbers.