St. Louis Cardinals First-Place Clinch Scenario

St. Louis's traditional magic number (relative to first-place Milwaukee) is 65 + 53 - 53 + 1 = 66.
St. Louis's first-place clinch number is 54.

If St. Louis wins 54 more games, their final win total will be at least 107.
The table below shows the best case scenario for each of the other teams if St. Louis wins 54 of their remaining 55 games and loses the other 1.
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 StLouis' column gives the
minimum number of games that each team will lose to StLouis if StLouis wins 54 more games. Assuming that a team wins all of its remaining games except for
the games it loses to StLouis, the resulting maximum number of wins and maximum winning percentage are shown in the 'Maximum W' column.

Team             W	L	GL	Losses to StLouis	Maximum W
Cincinnati       57	51	54	       6 - 1 = 5	106
Milwaukee        65	44	53	     13 - 1 = 12	106
Chicago          52	57	53	       7 - 1 = 6	99
Pittsburgh       41	67	54	      10 - 1 = 9	86

The table above shows that if St. Louis wins 54 more games (107 total), then they will finish the season in first place in the division.

To see that St. Louis's first-place clinch number cannot be less than 54, consider the following scenario in which StLouis wins 53 more games (106 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        65	44	53	0.596	0.0
Cincinnati       57	51	54	0.528	7.5
St. Louis        53	54	55	0.495	11.0
Chicago          52	57	53	0.477	13.0
Pittsburgh       41	67	54	0.380	23.5

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

Chicago wins 0 games against Cincinnati and loses 6.
Chicago wins 0 games against Milwaukee and loses 7.
Chicago wins 7 games against Pittsburgh and loses 0.
Chicago wins 0 games against St. Louis and loses 7.
Chicago wins 26 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 1 games against St. Louis and loses 5.
Cincinnati wins 26 games against teams outside the division and loses 0.

Milwaukee wins 7 games against Chicago and loses 0.
Milwaukee wins 0 games against Cincinnati and loses 3.
Milwaukee wins 3 games against Pittsburgh and loses 0.
Milwaukee wins 0 games against St. Louis and loses 13.
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 3.
Pittsburgh wins 0 games against St. Louis and loses 10.
Pittsburgh wins 21 games against teams outside the division and loses 0.

St. Louis wins 7 games against Chicago and loses 0.
St. Louis wins 5 games against Cincinnati and loses 1.
St. Louis wins 13 games against Milwaukee and loses 0.
St. Louis wins 10 games against Pittsburgh and loses 0.
St. Louis wins 18 games against teams outside the division and loses 1.

Combining the current standings with the wins and losses from the scenario results in the following final standings:
TEAM             W	L	GL	PCT
Cincinnati       106	56	0.654	0.0
St. Louis        106	56	0.654	0.0
Milwaukee        102	60	0.630	4.0
Chicago          85	77	0.525	21.0
Pittsburgh       62	100	0.383	44.0

# St. Louis Cardinals's magic number
# St. Louis's magic number
# Cardinals's magic number
# MLB Playoff Race