Question

Find the HCF and LCM of $15,25,27$?

Answer 1

Step 1: Finding the HCF

HCF: The full form of HCF is the Highest Common Multiple. The HCF defines the greatest factor present in between given two or more numbers.

The numbers $15,25,27$ can be written as

$$\begin{gathered} 15=3\times 5\times 1 \\ 25=5\times 5\times 1 \\ 27=3\times 3\times 3\times 1 \end{gathered}$$

Now for HCF, choose the common factor with the lowest exponent.

HCF$\left(15,25,27\right)=1$

HCF$\left(15,25,27\right)=1$

Step 2: Finding the LCM

LCM: The full form of LCM is the least common multiple, which is exactly divisible by each of the given numbers.

The numbers $15,25,27$ can be written as

$$\begin{gathered} 15=3\times 5\times 1 \\ 25=5\times 5\times 1 \\ 27=3\times 3\times 3\times 1 \end{gathered}$$

For LCM, choose each factor with the highest exponent.

LCM$\left(15,25,27\right)=$$3\times 3\times 3\times 5\times 5$

LCM$\left(15,25,27\right)=675$

Hence, HCF and LCM of $15,25,27$ are $1\mathrm{and}675$ respectively.