Question

The product of two numbers is 19200 and their HCF is 40.Find their LCM

Answer 1

hcf x lcm = 19200
hcf=40
lcm=19200/40
=480

Answer 2

$\mathfrak{Answer:}$

480.

$\mathfrak{Step-By-Step\:Explanation:}$

$\underline{\bold{Given\:in\:the\;Question:}}$

• The product of two numbers is 19200.
• H.C.F = 40.

$\underline{\bold{To\:Find\;;}}$

L.C.M = ?

$\tt{Solution:}$

Let their L.C.M be x.

We know that,

$\boxed{\bold{H.C.F\:\times\:L.C.M=Product\:of\:No.}}\\\\\\\implies\bold{40\times x=19200}\\\\\\\implies\bold{x=\dfrac{19200}{40}}\\\\\\\implies\bold{x=480.}\\\\\\\boxed{\boxed{\bold{L.C.M=480.}}}$