Milwaukee Brewers First-Place Clinch Scenario

Milwaukee's traditional magic number (relative to first-place Chicago) is 16 + 136 - 13 + 1 = 140.
Milwaukee's first-place clinch number is 132.
Milwaukee must win 132 more games (145 total) to clinch first place.

If Milwaukee wins 132 more games, their final win total will be at least 145.
The table below shows the best case scenario for each of the other teams if Milwaukee wins 132 of their remaining 137 games and loses the other 5.
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 132 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
Cincinnati       12	13	137	       9 - 5 = 4	145 *See tie-breaking notes below.
Chicago          16	10	136	      13 - 5 = 8	144
Pittsburgh       10	15	137	      13 - 5 = 8	139
St. Louis        10	15	137	      13 - 5 = 8	139

Tie-breakers:
Milwaukee has won 3 game(s) against Cincinnati and lost 1.
There are 9 games left in the series.
In the scenario above, Milwaukee wins 3 + 4 = 7 games against Cincinnati and loses 1 + 5 = 6.

The table above shows that if Milwaukee wins 132 more games (145 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 132, consider the following scenario in which Milwaukee wins 131 more games (144 total) but does not finish in first place:

Team             W	L	PCT	GB
Cincinnati       145	17	0.895	0.00
Milwaukee        144	18	0.889	1.00
Chicago          98	64	0.605	47.00
St. Louis        65	97	0.401	80.00
Pittsburgh       42	120	0.259	103.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Chicago          16	10	136	0.615	0.0
Milwaukee        13	12	137	0.520	2.5
Cincinnati       12	13	137	0.480	3.5
Pittsburgh       10	15	137	0.400	5.5
St. Louis        10	15	137	0.400	5.5

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


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

Cincinnati currently has 0 wins against Chicago and 0 losses.
  Cincinnati wins 12 additional games against Chicago and loses 1.
  Cincinnati wins the series 12 games to 1

Cincinnati currently has 1 wins against Milwaukee and 3 losses.
  Cincinnati wins 6 additional games against Milwaukee and loses 3.
  Cincinnati wins the series 7 games to 6

Cincinnati currently has 3 wins against Pittsburgh and 0 losses.
  Cincinnati wins 10 additional games against Pittsburgh and loses 0.
  Cincinnati wins the series 13 games to 0

Cincinnati currently has 0 wins against St. Louis and 0 losses.
  Cincinnati wins 13 additional games against St. Louis and loses 0.
  Cincinnati wins the series 13 games to 0

Milwaukee currently has 0 wins against Chicago and 0 losses.
  Milwaukee wins 13 additional games against Chicago and loses 0.
  Milwaukee wins the series 13 games to 0

Milwaukee currently has 0 wins against Pittsburgh and 0 losses.
  Milwaukee wins 13 additional games against Pittsburgh and loses 0.
  Milwaukee wins the series 13 games to 0

Milwaukee currently has 0 wins against St. Louis and 0 losses.
  Milwaukee wins 13 additional games against St. Louis and loses 0.
  Milwaukee wins the series 13 games to 0

St. Louis currently has 0 wins against Chicago and 0 losses.
  St. Louis wins 13 additional games against Chicago and loses 0.
  St. Louis wins the series 13 games to 0

St. Louis currently has 1 wins against Pittsburgh and 2 losses.
  St. Louis wins 10 additional games against Pittsburgh and loses 0.
  St. Louis wins the series 11 games to 2

Chicago wins 72 games agains teams outside the division and loses 12.
Cincinnati wins 92 games agains teams outside the division and loses 0.
Milwaukee wins 89 games agains teams outside the division and loses 0.
Pittsburgh wins 28 games agains teams outside the division and loses 63.
St. Louis wins 32 games agains teams outside the division and loses 56.

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