A gaming system including a game which utilizes a plurality of symbol generators. Each of the symbol generators is linked to at least another one of the symbol generators, such that the plurality of symbol generators are linked with each other to form a group of coupled symbol generators. In operation, for a play of a game, the gaming system activates (i.e., spins) one of the symbol generators. Due to the symbol generators being directly or indirectly coupled with one another, this activation of one of the symbol generators causes an activation of each of the linked symbol generators. Following the activation of the symbol generators, one of the symbol generators is deactivated (i.e., stopped) at a randomly selected orientation which causes each of the symbol generators to also be deactivated. The gaming system then evaluates any indicated symbols associated with the stopped symbol generators and provides one or more awards based on the evaluated symbol generators.