EXCLUSIVE

Lauren Bacall -- one of the leading ladies of the Golden Age of Hollywood -- is dead ... TMZ has learned.

A family member tells us Bacall had a massive stroke Tuesday morning at her home.

Bacall -- who famously starred with and married Humphrey Bogart -- starred in a slew of movies, including "The Mirror Has Two Faces," "How to Marry a Millionaire" and "Designing Woman."

One of Bacall's biggest movies was with Bogart -- "Key Largo" in 1948.

She married Bogart in 1945 and they were together until his death in 1957.

Bacall married Jason Robards in 1961. They divorced in 1969.

Bacall had 3 children.

Lauren recently appeared on an episode of "Family Guy" ... as a friend of Peter's mom, named Evelyn.

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