(i) Prime factors of 26 = 2 × 13
Prime factors of 91 = 7 ×13
Hence LCM of 26 and 91 = 2 × 7 × 13 = 182
HCF of 26 and 91 is = 13
LCM × HCF = 182 × 13 = 2366
Product of two numbers = 26 × 91 = 2366
Hence from above result we got LCM × HCF = Product of the numbers
(ii) Prime factors of 510 = 2 × 3 × 5 × 17
Prime factors of 92 = 2 × 2 × 13
Hence LCM of 92 and 510 = 2 × 2 × 3 × 5 × 17 × 23 = 23460
HCF of 92 and 510 is = 2
LCM × HCF = 23460 × 2 = 46920
Product of two numbers = 92×510 = 46920
Hence from above result we got LCM × HCF = Product of the numbers
(iii) Prime factors of 336 = 2 × 2 × 2 × 2 × 3 × 7
Prime factors of 54 = 2 × 3 × 3 × 3
Hence LCM of 336 and 54 = 2 × 2 × 2 × 2 × 3 × 3 × 7 = 3024
HCF of 54 and 336 is = 2 × 3 = 6
LCM × HCF = 3024 × 6 = 18144
Product of two numbers = 336 × 54 = 18144
Hence from above result we got LCM × HCF = Product of the numbers
