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Mathematics · 2024 · 2 marks
CBSE 2024 · Region 4 · Set 1 · Q21
Three bells toll at intervals of 9, 12 and 15 minutes respectively. If they start tolling together, after what time will they next toll together?
Three bells toll at intervals of $\displaystyle 9$, $\displaystyle 12$ and $\displaystyle 15$ minutes respectively. If they start tolling together, after what time will they next toll together ?
Marking-scheme solution
\[\begin{aligned}
& 9=3^{2} \\
& 12=2^{2} \times 3 \\
& 15=3 \times 5 \\
& \text { L.C.M }=2^{2} \times 3^{2} \times 5=180
\end{aligned}
\]
Three bells will toll together after $\displaystyle 180$ min.
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