A team has finished a game with 4-5-6 runs-hits-errors line 3 times since 1897, most recently New York Yankees on 5 June 1956. That is about one every 147,668 team-games.
Box score for the most recent one ↗
4-4-4 4-4-6 4-4-5 4-5-3 4-5-2 4-5-1 4-5-6 4-5-0 4-5-4 4-5-5 4-5-7 4-5-8 4-6-1
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes