Question

2. Find the LCM and HCF of the following pairs of integers and verify that LCMx HCF =
product of the two numbers.
(i) 26 and 91
(ii) 510 and 92
(111) 336 and 54
1
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Answer 1

Answer:

(i) prime factor of 26=13*2

prime factor of 91=13*7

LCM=13*2*7=182

HCF=13

(ii)prime factor of 510=2*3*5*17

prime factor of 92=2*2*23

LCM=2*3*5*17*2*23

HCF=2

(iii)prime factor of 336=2*2*2*2*3*7

prime factor of 54=2*3*3*3

LCM=2*2*2*2*3*3*3*7

HCF=2*3=6