Question

The product of two numbers is 2160. If their H.C.F is 12, find their L.C.M​

Answer 1

Step-by-step explanation:

given :

• The product of two numbers is 2160. If their H.C.F is 12, find their L.C.M

to find :

• their H.C.F is 12, find their L.C.M

solution :

• We know that product of two numbers equal to the product of their HCF and LCM

• SO,

• a × b = HCF (a, b) x LCM (a, b)

• 2160 = 12× LCM

• LCM = 180

Answer 2

Answer:

Given :-

• The product of two numbers is 2160.
• And their HCF is 12.

To Find :-

• What is their LCM.

Solution :-

Let,

➲ LCM = x

Given :

• Product of two numbers = 2160
• HCF = 12

As we know that :

$\footnotesize\: \bigstar\: \: \sf\boxed{\bold{\pink{Product\: Of\: 2\: Numbers =\: HCF \times LCM}}}\: \: \bigstar$

According to the question by using the formula we get,

$\implies \sf 2160 =\: 12 \times x$

$\implies \sf 2160 =\: 12x$

$\implies \sf \dfrac{2160}{12} =\: x$

$\implies \sf \dfrac{180}{1} =\: x$

$\implies \sf 180 =\: x$

$\implies \sf\bold{\red{x =\: 180}}$

$\therefore$ The LCM of the two numbers is 180 .

_______________________________

VERIFICATION

$\leadsto \sf 2160 =\: 12 \times x$

By putting x = 180 we get,

$\leadsto \sf 2160 =\: 12 \times 180$

$\leadsto \sf\bold{\purple{2160 =\: 2160}}$

Hence Verified !