question_answer

                                       Using prime factorisation method, find the HCF and LCM of 72, 126 and 168. Also show that HCF x L.C.M.  Product of these numbers.

Answer:

                          Since                     72 = 2 x 2 x 2 x 3 x 3                                126 = 2 x 3 x 3 x 7                                  168 = 2 x 2 x 2 x 3 x 7                             HCF = 2 x 3 = 6 LCM = 2 x 2 x 2 x 3 x 3 x 7 = 504. Now H.C.F. x L.C.M. = 6 x 504 = 3024 Also product of the numbers = 72 x 126 x 168 = 1524096. H.C.F. x L.C.M Product of the three numbers