What is the smallest positive integer of the form $30x+6y+10z$? I am trying to find the smallest positive integer of the form
$30x+6y+10z$, where $(x,y,z)\in\mathbb{Z}$ 
However, I do not know where to start. Hints or answers are welcome.
Thanks!

Hint: The integer has to be even (can you see why?). $6$ yes. Can you get $4$ or $2$? If you can generate $2$ you're done.
