Question

HCF and LCM of $6,72$ and $120$ are

• A. $120,72$
• B. $6,360$
• C. $72,6$
• D. $3,72$

Answer 1

The correct option is B $6,360$

We have : $6=2\times 3,72=2^3\times 3^2,120=2^3\times 3\times 5$

Here, $2^1$ and $3^1$ are the smallest powers of the common factors $2$ and $3$ respectively.

So, $HCF(6,72,120)=2^1\times 3^1=2\times 3=6$

$2^3,3^2$ and $5^1$, are the greatest powers of the prime factors $2,3$ and $5$ respectively involved in the three numbers.

So, $LCM(6,72,120)=2^3\times 3^2\times 5^1=360$