Did any major league baseball team thrown 3consecutive shutouts?

Answer 1

Yes.

The MLB record for most consecutive shutouts thrown by a team is 6 by the 1903 Pittsburgh Pirates. In those 6 games the Pirates played between June 2 and June 8 they defeated the New York Giants twice (7-0 and 5-0), the Boston Beaneaters three times (5-0, 9-0, 4-0), and the Philadelphia Phillies (2-0).

The Baltimore Orioles have thrown five consecutive shutouts on two occasions ... in 1974 and 1995.

The 1966 Los Angeles Dodgers threw four consecutive shutouts. The Houston Astros came to Dodger Stadium for a four game series in September and were shutout each game (7-0, 1-0, 4-0, 1-0).

The 1906 Chicago White Sox threw three consecutive shutouts between August 2 and August 4, defeating the Boston Americans 3-0, 4-0, and 1-0.

The 1909 Chicago Cubs threw three consecutive shutouts between August 15 and August 18, defeating the New York Giants 9-0 and the Cincinnati Reds 2-0 and 1-0.

The New York Giants threw three consecutive shutouts in the 1905 World Series, defeating the Philadelphia Athletics by the scores of 9-0 (Game 3), 1-0 (Game 4), and 2-0 (Game 5).

The Baltimore Orioles threw three consecutive shutouts in the 1966 World Series, defeating the Los Angeles Dodgers by the scores of 6-0 (Game 2), 1-0 (Game 3), and 1-0 (Game 4).