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# 10.Find the smallest number that is divisible by each of the numbers 8, 15 and 20.

$$\qquad \begin{array}{c|lcr} 2 & 8 \;,\;15\;,\;20\\ \hline 2 & 4 \;,\;15\;,\;10\\ \hline 2 & 2 \;,\;15\;,\;5\\ \hline 3 & 1 \;,\;15\;,\;5\\ \hline 5 & 1 \;,\;5\;,\;5\\ \hline & 1\;,\;1\;,\;1\\ \end{array}$$
LCM =$$2 \times 2 \times 2 \times 3 \times 5 = 120$$
The required smallest square number =$$120 \times 2 \times 3 \times 5 = 120 \times 30 = 3600$$