Question

Find the LCM and HCF of the following integers by applying the prime factorization method: $765,510and410$

Answer 1

HCF: The highest common factor of two or more numbers is called the HCF.

LCM: The least common multiple of two or more numbers is called the LCM.

Finding HCF and LCM of $765,510and410:$

Factorization of $765,510and410:$

$765=5\times 3\times 3\times 17$$=5\times 3^2\times 17$

$510=5\times 3\times 2\times 17$

$410=5\times 2\times 41$

HCF = 5

LCM = $2\times 3^2\times 5\times 17\times 41=62730$

Hence, HCF = $5$ and LCM = $62730$.