Question

Find the LCM and HCF of the following integers by the prime factorization method.306 and 657​

Answer 1

Answer:

Step-by-step explanation:  

                            2|   306,657  

                             3|  153.657

                             3|  51,219        

                             17|  17,73

                              73|  1,1

Therefore the lowest common factor of 306 & 657=2*3*3*17*73 =406

Hence the HCF(306,657)=406

Answer 2

Step-by-step explanation:

LCM -----

first we take LCM of 306 and 657

306 = 2 × 3 × 3 × 17

657 = 3 × 3 × 73

we take common number

3 × 3

also these numbers which are left

2 × 17 × 73

now multiply both common and left numbers

3×3×2×17×73 = 22,338

HCF-------

now, we take the HCF of 306 and 657

306 = 2×3×3×17

657 = 3×3×73

in HCF we take only common numbers

common factor = 3×3 = 9