Question

Findthe LCMand HCFof the positive integers by applying the prime factorization method i) 35,48,56 ii) 52,63,162

Answer 1

The LCM and HCF of positive integers by applying the prime factorization method:

1. Prime factors of 48 are 2^4. 3, prime factor of 35 is 5 . 7 and prime factors of 56 is 2^3 . 7

The HCF is 1 and LCM is 2ˆ4 . 3^1 . 5^1 . 7^1 = 1680

2. The prime factors of 52 are 2^2 . 13
Prime factors of 63 = 3^2 . 7
Prime factors of of 162 = 2 . 3^4

HCF is 1

LCM is = 2^2 . 13^1 . 3^4. 7^1 = 29484

Answer 2

The LCM and HCF of positive integers by applying the prime factorization method:

1. Prime factors of 48 are 2^4. 3, prime factor of 35 is 5 . 7 and prime factors of 56 is 2^3 . 7

The HCF is 1 and LCM is 2ˆ4 . 3^1 . 5^1 . 7^1 = 1680

2. The prime factors of 52 are 2^2 . 13

Prime factors of 63 = 3^2 . 7

Prime factors of of 162 = 2 . 3^4

HCF is 1

LCM is = 2^2 . 13^1 . 3^4. 7^1 = 29484