Puzzle of the Week #485 - Best Bet

I roll three standard dice, resulting in three random numbers between 1 and 6.

I bet you that you can’t make a number that is a multiple of ‘n’ by arranging the three numbers displayed on the dice to form a three-digit number.

‘n’ can be any ODD number larger than 1, which YOU nominate but you must do so BEFORE you see the results of the dice rolls.

For instance if you chose 13 and the dice rolls were 1, 6 and another 1, you could win by noting that 611 is a multiple of 13.

What is the best choice for ‘n’ to maximise your chances of winning?