Suppose that a group of 17 monkeys decide to store all of their bananas in 11 piles, all of equal size, and each of the piles containing more than 1 banana, with a 12th pile of 6 that are left over. No bananas remain when they decide to divide them into 17 equal groups. What is the smallest possible # of bananas that they can have?

Answer in back of book: 204