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