Question

(iii) The product of two numbers is 2736. If their LCM is 1368, what is th
HCF ?
(a) 38
(b)72 (c) 2​

Answer 1

Option (c) 2 is the required answer

Given:-

• The product of the numbers is 2736.
• LCM of the numbers is 1368.

To Find:-

• HCF of the numbers

Formulae Applied:-

• HCF × LCM = Product of Two Numbers

Solution:-

Let the HCF be x

Product = 2736

LCM = 1368

HCF = ??

According to the question,we have,

HCF × LCM = Product of Two Numbers

x × 1368 = 2736

1368x = 2736

x = 2736/1368 = 2

x = 2

Therefore,

HCF of the Numbers is 2.

Verification:-

HCF = 2

HCF × LCM = Product of Two Numbers

2 × 1368 = 2736

2736 = 2736

LHS = RHS

Hence,It is verified.

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