Through Super Bowl XLIV, 3 times:
1) LA Rams lost Super Bowl XIV to Pittsburgh Steelers
2) St. Louis Rams won Super Bowl XXXIV over the Tennessee Titans
3) St. Louis Rams lost Super Bowl XXXVI to the New England Patriots
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One.
The Rams lost to the Steelers, 31-19, in Super Bowl XIV, their only Super Bowl appearance.
The Rams appeared in Super bowl XIV (14), XXXIV (34,) and XXXVI (36) . They won Super bowl XXXIV. They Super bowl lost XIV XXXVI.