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Find the smallest $4$-digit number exactly divisible by $15$, $24$ and $36$.
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Sol. LCM $(15, 24, 36) = 360$
Therefore, the smallest $4$-digit number which is a multiple of $360$ is $360 \times 3 = 1080$ which is divisible by $15, 24 \& 36$.
Therefore, the smallest $4$-digit number which is a multiple of $360$ is $360 \times 3 = 1080$ which is divisible by $15, 24 \& 36$.