Find common number divisible by six different numbers If there is recipe to find this - I would like to find the first common number divisible by the following six numbers- 260,
380, 460,560,760 and 960.
How does one calculate the numbers I need?
Any direction would be useful.

$\begin{align} {\rm Hint\!:}\ \  &\ \, 20[19,13,23,\,28,\,38,\,48],\ \ \, \ \ \ {\rm with}\,\ \ [a,b,c] := {\rm lcm}(a,b,c)\\[.2em]
&=\, 20[13,23,2[14,19,24]]\ \ \ \ \ \ \ {\rm by}\ \ 19\mid 38\\[.2em]
&=\, 20[13,23,2[\ \ 7,19, 24]]\ \ \ \ \ \ \ {\rm by}\ \ 2^1\,||\,14,\, 2^2\mid 24;\\[.2em]
&=\, 20(13\!\cdot\! 23(2(7\cdot 19\cdot 24)))\ \ \ \ {\text{by lcm = product for pair coprimes}}\\[.2em]
&=\, 38176320\end{align}$
