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(i) 26 = 2 x 13

91 = 7x13

HCF =13

LCM = 2 x 7 x 13 =182

Product of the two numbers = 26 x 91 = 2366

HCF X LCM = 13 x 182 = 2366

Hence, product of two numbers = HCF x LCM

(ii) 510 = 2 x 3 x 5 x 17

92 = 2*2*23

HCF = 2

LCM = 2*2*3*5x17x23 = 23460

Product of the two numbers = 510 x 92 = 46920

HCF x LCM = 2 x 23460

HCF x LCM = 46920

Hence, product of two numbers = HCF x LCM

(iii) 336 = 2 x 2 x 2 x 2 x 3 x 7

336 = 24 x 3 x 7

54 = 2 x 3 x 3 x 3

54 =2 x 33

HCF = 2 x 3 = 6

LCM = 24x 33x 7 = 3024

Product of the two numbers = 336 x 54 = 18144

HCF x LCM = 6 x 3024 = 18144

Hence, product of two numbers = HCF x LCM



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