(i) Given numbers are 26 and 91
Product of factors of common primes (in minimum powers) 26 and 91
= (13)1 = 13
The product of all prime factors of 26 and 91 in maximum powers.
Hence, (H.CF.) = 13
and (L.C.M.) = 182
Product of both numbers
= 26 x 91 = 2366
and H.C.F. x L.C.M.
= 13 x 182 = 2366
Now product of both number
= H.C.F. x L.C.M.
(ii) Given numbers are 510 and 92
510 = 2 x 3 x 5 x 17
= (2) x (3) x (5) x (17)
Product of common prime factors of 92 and 510
= (2)1 = 2.
So, H.C.F. = 2
Product of both numbers
= (2)2 x (3) x (5) x (17) x (23)
= 23460
So, L.C.M. = 23460
Product of both numbers
= 92 x 510 = 46920
and H.C.F. x L.C.M.
= 2 x 23460 = 46920
So, product of both number
= H.C.F. x L.C.M.
