Milwaukee Brewers First-Place Clinch Scenario

Milwaukee's traditional magic number (relative to second-place Cincinnati) is 56 + 56 - 63 + 1 = 50.
Milwaukee's first-place clinch number is 50.

If Milwaukee wins 50 more games, their final win total will be at least 113.
The table below shows the best case scenario for each of the other teams if Milwaukee wins 50 of their remaining 56 games and loses the other 6.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to Milwaukee' column gives the
minimum number of games that each team will lose to Milwaukee if Milwaukee wins 50 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Milwaukee, the resulting maximum number of wins and maximum winning percentage are shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Milwaukee	Maximum W
Cincinnati       56	50	56	               0	112
Chicago          51	56	55	       7 - 6 = 1	105
St. Louis        53	52	57	      13 - 6 = 7	103
Pittsburgh       40	65	57	               0	97

The table above shows that if Milwaukee wins 50 more games (113 total), then they will finish the season in first place in the division.

To see that Milwaukee's first-place clinch number cannot be less than 50, consider the following scenario in which Milwaukee wins 49 more games (112 total) but does not finish in first place.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Milwaukee        63	43	56	0.594	0.0
Cincinnati       56	50	56	0.528	7.0
St. Louis        53	52	57	0.505	9.5
Chicago          51	56	55	0.477	12.5
Pittsburgh       40	65	57	0.381	22.5

Next, we show how the remaining series of games in Milwaukee's division plays out in the scenario:

Chicago wins 0 games against Cincinnati and loses 6.
Chicago wins 4 games against Milwaukee and loses 3.
Chicago wins 7 games against Pittsburgh and loses 0.
Chicago wins 7 games against St. Louis and loses 0.
Chicago wins 28 games against teams outside the division and loses 0.

Cincinnati wins 6 games against Chicago and loses 0.
Cincinnati wins 3 games against Milwaukee and loses 0.
Cincinnati wins 13 games against Pittsburgh and loses 0.
Cincinnati wins 6 games against St. Louis and loses 0.
Cincinnati wins 28 games against teams outside the division and loses 0.

Milwaukee wins 3 games against Chicago and loses 4.
Milwaukee wins 0 games against Cincinnati and loses 3.
Milwaukee wins 6 games against Pittsburgh and loses 0.
Milwaukee wins 13 games against St. Louis and loses 0.
Milwaukee wins 27 games against teams outside the division and loses 0.

Pittsburgh wins 0 games against Chicago and loses 7.
Pittsburgh wins 0 games against Cincinnati and loses 13.
Pittsburgh wins 0 games against Milwaukee and loses 6.
Pittsburgh wins 10 games against St. Louis and loses 0.
Pittsburgh wins 21 games against teams outside the division and loses 0.

St. Louis wins 0 games against Chicago and loses 7.
St. Louis wins 0 games against Cincinnati and loses 6.
St. Louis wins 0 games against Milwaukee and loses 13.
St. Louis wins 0 games against Pittsburgh and loses 10.
St. Louis wins 21 games against teams outside the division and loses 0.

Combining the current standings with the wins and losses from the scenario results in the following final standings:
TEAM             W	L	GL	PCT
Cincinnati       112	50	0.691	0.0
Milwaukee        112	50	0.691	0.0
Chicago          97	65	0.599	15.0
St. Louis        74	88	0.457	38.0
Pittsburgh       71	91	0.438	41.0

# Milwaukee Brewers's magic number
# Milwaukee's magic number
# Brewers's magic number
# MLB Playoff Race