Milwaukee Brewers First-Place Clinch Scenario

Milwaukee's traditional magic number (relative to first-place Chicago) is 57 + 66 - 56 + 1 = 68.
Milwaukee's first-place clinch number is 63.
Milwaukee must win 63 more games (119 total) to clinch first place.

If Milwaukee wins 63 more games, their final win total will be at least 119.
The table below shows the best case scenario for each of the other teams if Milwaukee wins 63 of their remaining 66 games and loses the other 3.
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 63 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 is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Milwaukee	Maximum W
Chicago          57	39	66	       8 - 3 = 5	118
St. Louis        51	46	65	       6 - 3 = 3	113
Cincinnati       50	47	65	       6 - 3 = 3	112
Pittsburgh       39	58	65	       6 - 3 = 3	101

The table above shows that if Milwaukee wins 63 more games (119 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 63, consider the following scenario in which Milwaukee wins 62 more games (118 total) but does not finish in first place:

Team             W	L	PCT	GB
Chicago          118	44	0.728	0.00
Milwaukee        118	44	0.728	0.00
St. Louis        83	79	0.512	35.00
Cincinnati       77	85	0.475	41.00
Pittsburgh       72	90	0.444	46.00

Tie breakers
Chicago wins the season series with Milwaukee 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Chicago          57	39	66	0.594	0.0
Milwaukee        56	40	66	0.583	1.0
St. Louis        51	46	65	0.526	6.5
Cincinnati       50	47	65	0.515	7.5
Pittsburgh       39	58	65	0.402	18.5

Next, we show how the remaining series of games in the division play out in the scenario:


Chicago currently has 4 wins against Cincinnati and 2 losses.
  Chicago wins 7 additional games against Cincinnati and loses 0.
  Chicago wins the series 11 games to 2

Chicago currently has 3 wins against Milwaukee and 2 losses.
  Chicago wins 4 additional games against Milwaukee and loses 4.
  Chicago wins the series 7 games to 6

Chicago currently has 5 wins against Pittsburgh and 2 losses.
  Chicago wins 6 additional games against Pittsburgh and loses 0.
  Chicago wins the series 11 games to 2

Chicago currently has 4 wins against St. Louis and 3 losses.
  Chicago wins 6 additional games against St. Louis and loses 0.
  Chicago wins the series 10 games to 3

Cincinnati currently has 4 wins against Pittsburgh and 2 losses.
  Cincinnati wins 3 additional games against Pittsburgh and loses 4.
  Cincinnati wins the series 7 games to 6

Milwaukee currently has 5 wins against Cincinnati and 2 losses.
  Milwaukee wins 6 additional games against Cincinnati and loses 0.
  Milwaukee wins the series 11 games to 2

Milwaukee currently has 4 wins against Pittsburgh and 3 losses.
  Milwaukee wins 6 additional games against Pittsburgh and loses 0.
  Milwaukee wins the series 10 games to 3

Milwaukee currently has 4 wins against St. Louis and 3 losses.
  Milwaukee wins 6 additional games against St. Louis and loses 0.
  Milwaukee wins the series 10 games to 3

Pittsburgh currently has 5 wins against St. Louis and 4 losses.
  Pittsburgh wins 4 additional games against St. Louis and loses 0.
  Pittsburgh wins the series 9 games to 4

St. Louis currently has 4 wins against Cincinnati and 3 losses.
  St. Louis wins 4 additional games against Cincinnati and loses 2.
  St. Louis wins the series 8 games to 5

Chicago wins 38 games agains teams outside the division and loses 1.
Cincinnati wins 22 games agains teams outside the division and loses 17.
Milwaukee wins 40 games agains teams outside the division and loses 0.
Pittsburgh wins 25 games agains teams outside the division and loses 17.
St. Louis wins 28 games agains teams outside the division and loses 15.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Milwaukee Brewers' magic number
# Milwaukee's magic number
# Brewers' magic number
# MLB Playoff Race