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Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers - Mathematics

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Sum

Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers

26 and 91

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Solution

26 and 91

26 = 2 x 13  x 1 (Expressing as product f prime factors)

91 = 7 x 13 x 1 (Expressing as product of prime factors)

Therfore HCF of 26 and 91 = 13 x 1 = 13

And LCM of 26 and 91 = 2 x 7 x 13 x 1 = 182.

Verification:

LCM x HCF = 13 x 182 = 2366

Product of 26 x 91 = 2366

Therefore it is proved that LCM x HCF = Product of the two numbers.

Concept: Fundamental Theorem of Arithmetic
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APPEARS IN

NCERT Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.2 | Q 2.1 | Page 11

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