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# Find the Lcm and Hcf of the Following Pair of Integers and Verify that Lcm × Hcf = Product of the Two Numbers 510 and 92 - Mathematics

Sum

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

510 and 92

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#### Solution

510 and 92

510 = 2 x 255

= 2 x 3 x 85

= 2 x 3 x 5 x 17

= 2 x 3 x 5 x 17 x 1

Therefore 510 = 2 x 3 x 5 x 17 x 1 .....(A)

92 = 2 x 46

= 2 x 2 x 23

Hence 92 = 2 x 2 x 23 .....(B)

From (A) and (B) HCF of 510 and 92 is = 2 and their

LCM is 2 x 2 x 3 x 5 x 17 x 23 = 23460

Product of the LCM and HCF = 2 x 23460 = 46920

Product of the two numbers = 510 x 92 = 46920

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

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#### APPEARS IN

NCERT Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.2 | Q 2.2 | Page 11
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