Question

The puoduct of two no•is 20736 and their hcf is 24 .find the lcm​

Answer 1

Answer:

Product of two no. = product of HCF and LCM

20736 = 24 × LCM

LCM = 20736 ÷ 24

LCM = 864

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

HCF of two numbers = 24

Product of two numbers = 20736

LCM = ?

Assume

LCM be p

Now,

$\Large{\boxed{\sf\:{HCF\times LCM=Product\;of\;two\;Numbers}}}$

Putting the value

24 × p = 20736

$\rm \: \: \: \: \: \: \: \: \:p=\dfrac{20736}{24}$

p = 864

$\Large{\boxed{\sf\:{Verification:-}}}$

HCF × LCM = Product of two Numbers

24 × 864 = 20736

20736 = 20736