UPDATE 1-US Treasury selling all its remaining AIG common stock

* Treasury offering 234.2 million shares

* Offer worth $7.8 bln at Monday's close

* U.S. rescued company from collapse in 2008

WASHINGTON, Dec 10 (Reuters) - The U.S. Treasury is selling its remaining stake in insurer American International Group Inc , bringing an end to government ownership of the company four years after it was rescued from the brink of bankruptcy.

In a statement on Monday, the Treasury said it launched an underwritten public offering for its remaining 234.2 million shares of common stock.

At Monday's closing prices the stake would be worth some $7.81 billion. Treasury said that the sale would be jointly led by Bank of America Merrill Lynch, Citigroup, Deutsche Bank, Goldman Sachs and JPMorgan.

Treasury also said it would continue to hold warrants to buy common stock even after the share offering is complete.

In September 2008 AIG was rescued minutes before it would have been forced to file for bankruptcy protection. The bailout ultimately totaled $182 billion.

At one time the government estimated it would never recover all of those funds, but as AIG restructured and returned to viability it was able to repay the entire rescue plus generate a profit for taxpayers.