Mathematics

Problem

If the lines

\frac{x-1}{2} = \frac{2-y}{-3} = \frac{z-3}{\alpha}

and

\frac{x-4}{5} = \frac{y-1}{2} = \frac{z}{\beta}

intersect, then the magnitude of the minimum value of

8\alpha\beta

is _______.