Game tells TMZ he leased the Corvette roughly three years ago ... but he was on tour when the lease expired and was unable to return it.

But a few days ago, after Game returned home, repo men came to the house and took the car away. Sources connected to the situation tell us Game was home at the time and was "cooperative" during the hand-off.
Game doesn't seem too bothered by the situation ... telling us, "I got SO many whips!"