Question

write the smallest number which is divisible by both 306&657 answer it fast

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{The}\mathrm{prime}\mathrm{factorisation}\mathrm{of}306\mathrm{and}657\mathrm{is}, \\ 306=2\times 3\times 3\times 17 \\ 657=3\times 3\times 73 \\ \mathrm{LCM}=2\times 3\times 3\times 17\times 73=22338 \\ \mathrm{So},22338\mathrm{is}\mathrm{the}\mathrm{smallest}\mathrm{number}\mathrm{that}\mathrm{is}\mathrm{divisible}\mathrm{by}306\mathrm{and}657. \end{gathered}$$

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