Question

2. Find the LCM and HCF of the following integers by the prime factorization method.
(i) 72 and 108
(ii) 306 and 657

​

Answer 1

Answer:

Step-by-step explanation:

1)

Factors of 72 = 2 x 2 x 2 x 3 x 3

Factors of 108 = 2 x 2 x 3 x 3 x 3

LCM = 2 x 2 x 2 x 3 x 3 x 3 = 1458

HCF = 2 x 2 x 3 x 3 = 24

2)

Factors of 306 = 2 x 3 x 3 x 17

Factors of 657 = 3 x 3 x 73

LCM = 2 x 3 x 3 x 17 x 73 = 22338

HCF = 3 x 3 = 9

Hope it helps you dear!!!

Answer 2

Answer:LCM of 72 and 108 = 216

HCF of 72 and 108 = 36

LCM of 306 and 657 = 22,338

HCF of 306 and 657 = 9

Step-by-step explanation: