Counting number

What is the smallest counting number divisible by 2,5,7,8 and 15?

Correct result:

x =  840

Solution:

$$\begin{gathered} 2\mathrm{.}\mathrm{.}\mathrm{.}\text{ prime number } \\ 5\mathrm{.}\mathrm{.}\mathrm{.}\text{ prime number } \\ 7\mathrm{.}\mathrm{.}\mathrm{.}\text{ prime number } \\ 8=2^3 \\ 15=3\cdot 5 \\ LCM(2,5,7,8,15)=2^3\cdot 3\cdot 5\cdot 7=840 \\ x=LCM(2,5,7,8,15)=840 \end{gathered}$$

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