Question

If HCF (54, 81) = 27; then find LCM (54,81)
please answer this question​

Answer 1

Answer:

LCM (54 , 81) = 162

Step-by-step explanation:

$\underline{\underline{ \sf HCF(Highest \ Common \ Factor):}}$

⇒ The HCF is the greatest factor present in between given two or more numbers i.e., the greatest number which can divide the given numbers.

⇒ HCF is also known as Greatest Common Divisor (GCD)

$\underline{\underline{\sf LCM(Least \ Common \ Multiple):}}$

⇒ The LCM is the smallest number that is a multiple of two or more numbers.

_____________________________

Given,

• HCF of two numbers, 54 and 81 = 327

To find,

• LCM of the two numbers [ LCM(54 , 81) ]

we know,

Product of two numbers = HCF × LCM

Substituting the given values,

 54 × 81 = 27 × LCM

 LCM = (54 × 81)/27

 LCM = 2 × 81

 LCM = 162

∴ LCM (54 , 81) = 162

Answer 2

$\huge\sf\underline\purple{Given}$

HCF of 54,81 is 27

LCM of 54,81 is ?

$\huge\sf\underline{Explanation}$

We have to find LCM of two numbers

• We can do this in two ways
• We can find LCM of two numbers or
• We can find By using one formula

$\huge\sf\underline{Formula}$

$\large\sf{\boxed{\underline{Product of two numbers=LCM×HCF}}}$

$\huge\sf\underline\purple{Solution}$

54×81 = 27 × LCM

LCM = 81 × 2 = 162

$\huge\sf\underline\orange{Conclusion}$

We can conclude that LCM OF 54,81 is 162

( or)

Once refee the attachemnt u can do like this also Refer the attachment