Question
Find the HCF and LCM of 26, 65 and 117, using prime factorisation.
✓
Answer
HCF by prime Factorization methodFirst, we have to find the highest common Factor of 26,65 and 117
Now let us write the prime factors of 26, 65, and 117.
$
\begin{aligned}
26 & =2 \times 13 \\
65 & =5 \times 13 \\
117 & =3 \times 3 \times 13
\end{aligned}
$
The common factor of 26,65 , and 117 is 13
Therefore, $\operatorname{HCF}(26,65,117)=13$
LCM by prime factorization method
To calculate the LCM of 26, 65 and 117
First, list the common factors of each number
$
\begin{aligned}
26 & =2 \times 13 \\
65 & =5 \times 13 \\
117 & =3 \times 3 \times 13 \\
\text { LCM } & =2 \times 5 \times 3 \times 3 \times 13 \\
& =1170
\end{aligned}
$
Now let us write the prime factors of 26, 65, and 117.
$
\begin{aligned}
26 & =2 \times 13 \\
65 & =5 \times 13 \\
117 & =3 \times 3 \times 13
\end{aligned}
$
The common factor of 26,65 , and 117 is 13
Therefore, $\operatorname{HCF}(26,65,117)=13$
LCM by prime factorization method
To calculate the LCM of 26, 65 and 117
First, list the common factors of each number
$
\begin{aligned}
26 & =2 \times 13 \\
65 & =5 \times 13 \\
117 & =3 \times 3 \times 13 \\
\text { LCM } & =2 \times 5 \times 3 \times 3 \times 13 \\
& =1170
\end{aligned}
$
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