Question

give HCF (54,81) =27 , find LCM (54,81)

Answer 1

162 will be their least common multiple

Answer 2

SOLUTION

GIVEN

HCF (54,81) =27

TO DETERMINE

LCM (54,81)

FORMULA TO BE IMPLEMENTED

If HCF of two numbers are given then we know that

HCF × LCM = Product of the numbers

EVALUATION

Here the given two numbers are 54 & 81

HCF ( 54 , 81 ) = 27

We know that

HCF × LCM = Product of the numbers

$\implies \sf{ 27 \times LCM = 54 \times 81}$

$\displaystyle \implies \sf{ LCM = \frac{54 \times 81}{27} }$

$\displaystyle \implies \sf{ LCM = 2 \times 81 }$

$\displaystyle \implies \sf{ LCM = 162 }$

Hence LCM ( 54 , 81 ) = 162

FINAL ANSWER

LCM ( 54 , 81 ) = 162

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