306
just some dice I threw around. nothing to see here
(lemmy.blahaj.zone)
Alt text: Five dices. Top left corner is a three, top right corner is a six, bottom left corner is also a six and bottom right corner is two threes forming a straight angle.
If you allow factorials:
6^3 - 6! / (3! * 3!) = 196
Edit: also 66*3 - 3!/3 = 196
If we allow combining digits to make larger numbers (like kittehx's edit) we can actually do
(33*6) - (6/3) = 196
How did I not try that? Now I feel dumb lol
If it's limited to basic arithmetic (+-*/) and no parenthesis, would there be any answer possible that's not a multiple of 3? My first thought is telling me that common order of operations would make any equation using the numbers in the OP and the restrictions laid out would always amount to a multiple of 3.
Oh yep, my bad. It's always division that throws me in math expressions that have multiple steps to them.