Question

The product of two number is 864 if the HCF of the number is 12 find their LCM

Answer 1

Answer:

HCF×LCM=Product of two numbers

12×LCM=864

=in this case 12×Lcm=864

Step-by-step explanation:

fisrt write like this

and then 864÷12=72=ans

LCM=72

Answer 2

$\Large{\underline{\underline{\bf{GIVEN:-}}}}$

• The product of two number is 864.
• HCF of the number is 12

$\Large{\underline{\underline{\bf{TO \: FIND:-}}}}$

• Find the L.C.M

$\Large{\underline{\underline{\bf{SOLUTION:-}}}}$

Let the L.C.M. of the numbers be 'x'.

We have given that, the product of two number is 864 if the HCF of the number is 12.

$\large{\boxed{\bf{\star \: Product \: of \: numbers = H.C.F \times L.C.M \: \star}}}$

According to question:-

On putting the given values in the formula, we get

$\rm{\dashrightarrow 864 = 12 \times x}$

$\rm{\dashrightarrow \cancel\dfrac{864}{12} = x }$

$\bf{\dashrightarrow 72 = x }$

• x = L.C.M = 72

❝ Hence, the L.C.M of the numbers is 72 ❞

______________________

$\Large{\underline{\underline{\bf{VERIFICATION:-}}}}$

Put the values in the formula

➺ $\bf{ 12 \times 72 = 864}$

➺ $\bf{ 864 = 864}$

$\rm{[L.H.S. = R.H.S.]}$

$\large{\underline{\underline{\bf{VERIFIED:-}}}}$