The Angels had only two hits the day before their string, so they had 5 hits in 3 games, with one win. In fact, they were the only team to have 3 games in a row with 2 hits or less, and they managed to win one...

The least total hits in 2 games where the team won both games is (AFAIK) 6, held by about 15 teams. The least hits in 3 consecutive wins is 10, by the

1986 Rangers and the

1963 Giants.

Not doing an exhaustive search, there's also 17 hits in 4 consecutive wins by the

1986 Rangers (which includes the 3-game streak above)

and 23 hits in 5 consecutive wins by the

1968 Cubs