Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25

Asked on 2024-05-31 12:18:14 by Somu | Votes 28 | Views: 2473 | Tags: | Last Updated: 2024-05-31 22:49:34

Find the LCM and HCF of the following integers by applying the prime factorisation method.

(i) 12, 15 and 21

(ii) 17, 23 and 29

(iii) 8, 9 and 25

Somu · Answer 1 · 2024-06-03 02:47:43

$ \begin{array}{|l} \llap{2~~~~} 12 \\ \hline \llap{2~~~~} 6 \\ \hline \llap{3~~~~} 3 \\ \hline 1 \end{array} $

$ \begin{array}{|l} \llap{3~~~~} 15 \\ \hline \llap{5~~~~} 5 \\ \hline 1 \end{array} $

$ \begin{array}{|l} \llap{3~~~~} 21 \\ \hline \llap{7~~~~} 7 \\ \hline 1 \end{array} $

$12 = 2 \times 2 \times 3$

$15 = 3 \times 5$

$21 = 3 \times 7$

Hence HCF $= 3$

LCM $ = 2 \times 2 \times 3 \times 5 \times 7 = 420$

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