Question

find hcf and lcm 672 and 120 by prime factorization method

Answer 1

Least common Multiple and Highest common factor

Answer 2

HCF of 672 and 120 is 24.

LCM of 672 and 120 is 3360.

Step-by-step explanation:

Given : Numbers 672 and 120.

To find : HCF and LCM of numbers by prime factorization method ?

Solution :

Factoring the numbers,

$672=2\times 2\times 2\times 2\times 2\times 3\times 7$

$120=2\times 2\times 2\times 3\times 5$

$HCF(672,120)=2\times 2\times 2\times 3$

HCF is the highest common factor.

$HCF(672,120)=24$

HCF of 672 and 120 is 24.

LCM is the least common factor.

$LCM(672,120)=2\times 2\times 2\times 3\times 2\times 2\times 5\times 7$

$LCM(672,120)=3360$

LCM of 672 and 120 is 3360.

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