Question

Hi, Please answer this...

Using prime factorization find the LCM and HCF of
(i)306,657
(ii)196,350,728,924

Answer 1

(1) 

Prime factorization of 306 = 2 * 3 * 3 * 17

Prime factorization of 657 = 3 * 3 * 73

LCM(306,857) = 2 * 3 * 3 * 17 * 73

                        = 22338


HCF(306,857) = 3 * 3

                         = 9




(ii)

Prime factorization of 196 = 2 * 2 * 7 * 7

Prime factorization of 350 = 2 * 5 * 5 * 7

Prime factorization of 728 = 2 * 2 * 2 * 7 * 13

Prime factorization of 924 = 2 * 2 * 3 * 7 * 11


LCM(196,350,728,924) = 2 * 2 * 2 * 3 * 5 * 5 * 7 * 7 * 11 * 13

                                       = 4204200



HCF(196,350,728,924) = 2 * 7

                                      = 14.




Hope this helps!

Answer 2

Hi,

Please see the attached file!


Thanks