Question

the HCF of two numbers is 12 and their product is 3600 find LCM please give me answer​

Answer 1

Answer:

Given :-

• The HCF of two numbers is 12.
• Their product is 3600.

To Find :-

• What is the LCM.

Solution :-

Let,

$\mapsto \bf LCM =\: x$

Given :

• HCF = 12
• Product of two numbers = 3600

According to the question by using the formula we get,

$\footnotesize \bigstar \: \: \sf\boxed{\bold{\pink{HCF \times LCM =\: Product\: of\: Two\: Number}}}\: \: \: \bigstar$

$\implies \sf 12 \times x =\: 3600$

$\implies \sf 12x =\: 3600$

$\implies \sf x =\: \dfrac{\cancel{3600}}{\cancel{12}}$

$\implies \sf x =\: \dfrac{300}{1}$

$\implies \sf\bold{\green{x =\: 300}}$

Hence, the LCM is :

$\dashrightarrow \sf LCM =\: x$

$\dashrightarrow \sf\bold{\red{LCM =\: 300}}$

$\sf\bold{\purple{\underline{\therefore\: The\: LCM\: of\: two\: numbers\: is\: 300\: .}}}$

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VERIFICATION :-

$\leadsto \bf HCF \times LCM =\: Product\: of\: Two\: Number$

$\leadsto \sf 12 \times x =\: 3600$

By putting x = 300 we get,

$\leadsto \sf 12 \times 300 =\: 3600$

$\leadsto \sf\bold{\blue{3600 =\: 3600}}$

$\leadsto \sf\bold{\orange{L.H.S =\: R.H.S}}$

HENCE, VERIFIED !!

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