Find the LCM and HCF of the following integer by applying the pri… - Vidyadip

Question

Find the $LCM$ and $HCF$ of the following integer by applying the prime factorisation method.
$17, 23$ and $29$

✓

Answer

$17 = 1 × 17$
$23 = 1 × 23$
$29 = 1 × 29$
$LCM$ of $17, 23,\ \&\ 29$
$\begin{array}{c|c} 17 & 17-23-29 \\ \hline 23 & 1-23-29\\\hline29 & 1-1-29\\\hline & 1-1-1\end{array}$
So $LCM$ of $17, 23\ \&\ 29$ is $17 × 23 × 29$
$= 11339$
From the above, $HCF (17, 23, 29) = 1$ and $LCM (17, 23, 29) = 11339$

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