Find the Lcm and Hcf of the Following Pairs of Integers and Verify that Lcm × Hcf = Product of the Integers: 510 and 92 - Mathematics

Numerical

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = Product of the integers:

510 and 92

Solution

(ii) 510 and 92

Let us first find the factors of 510 and 92

510=2 x 3 x 5 x 17

92 = 2^2xx23

L.C.M of 510 and 92=2^2xx3xx5xx23xx17

L.C.M of 510 and 92 = 23460

H.C.F of 510 and 92 = 2

We know that,

L.C.M x H.C.F = First number x Second Number

23460 x 2 = 510 x 92

46920 = 46920

Hence verified

Concept: Fundamental Theorem of Arithmetic
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.4 | Q 1.2 | Page 39
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