Question

The product of two numbers is 750 and their H.C.F is 5find L.C.M​

Answer 1

Answer:

Given :-

• The product of two numbers is 750 and their HCF is 5.

To Find :-

• What is the LCM of two numbers ?

Solution :-

Let,

$\mapsto \bf LCM =\: b$

Given :

• Product of two numbers = 750
• HCF (a) = 5

According to the question by using the formula we get,

$\small \implies \sf\boxed{\bold{Product\: Of\: Two\: Numbers =\: HCF \times LCM}}$

$\implies \sf 750 =\: a \times b$

$\implies \sf 750 =\: 5 \times b$

$\implies \sf 750 =\: 5b$

$\implies \sf \dfrac{750}{5} =\: b$

$\implies \sf 150 =\: b$

$\implies \sf\bold{b =\: 150}$

Hence, the LCM of two numbers will be :-

$\dag$ LCM Of Two Numbers :-

$\dashrightarrow \sf LCM =\: b$

$\dashrightarrow \sf\bold{\underline{LCM =\: 150}}$

$\therefore$ The LCM of two numbers is 150 .