Detroit Tigers First-Place Clinch Scenario

Detroit's traditional magic number (relative to first-place Cleveland) is 20 + 132 - 18 + 1 = 135.
Detroit's first-place clinch number is 128.
Detroit must win 128 more games (146 total) to clinch first place.

If Detroit wins 128 more games, their final win total will be at least 146.
The table below shows the best case scenario for each of the other teams if Detroit wins 128 of their remaining 131 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 Detroit' column gives the
minimum number of games that each team will lose to Detroit if Detroit wins 128 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Detroit, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Detroit	Maximum W
Minnesota        17	13	132	       6 - 3 = 3	146 *See tie-breaking notes below.
Cleveland        20	10	132	     13 - 3 = 10	142
Kansas City      19	13	130	      10 - 3 = 7	142
Chicago          6	25	131	      10 - 3 = 7	130

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

The table above shows that if Detroit wins 128 more games (146 total), then they will finish the season in first place in the division.

To see that Detroit's first-place clinch number cannot be less than 128, consider the following scenario in which Detroit wins 127 more games (145 total) but does not finish in first place:

Team             W	L	PCT	GB
Minnesota        145	17	0.895	0.00
Detroit          145	17	0.895	0.00
Cleveland        69	93	0.426	76.00
Chicago          68	94	0.420	77.00
Kansas City      66	96	0.407	79.00

Tie breakers
Minnesota wins the season series with Detroit 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Cleveland        20	10	132	0.667	0.0
Kansas City      19	13	130	0.594	2.0
Detroit          18	13	131	0.581	2.5
Minnesota        17	13	132	0.567	3.0
Chicago          6	25	131	0.194	14.5

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


Cleveland currently has 2 wins against Chicago and 1 losses.
  Cleveland wins 10 additional games against Chicago and loses 0.
  Cleveland wins the series 12 games to 1

Cleveland currently has 0 wins against Kansas City and 0 losses.
  Cleveland wins 12 additional games against Kansas City and loses 1.
  Cleveland wins the series 12 games to 1

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

Detroit currently has 0 wins against Cleveland and 0 losses.
  Detroit wins 13 additional games against Cleveland and loses 0.
  Detroit wins the series 13 games to 0

Detroit currently has 2 wins against Kansas City and 1 losses.
  Detroit wins 10 additional games against Kansas City and loses 0.
  Detroit wins the series 12 games to 1

Kansas City currently has 6 wins against Chicago and 1 losses.
  Kansas City wins 3 additional games against Chicago and loses 3.
  Kansas City wins the series 9 games to 4

Minnesota currently has 7 wins against Chicago and 0 losses.
  Minnesota wins 6 additional games against Chicago and loses 0.
  Minnesota wins the series 13 games to 0

Minnesota currently has 0 wins against Cleveland and 2 losses.
  Minnesota wins 10 additional games against Cleveland and loses 1.
  Minnesota wins the series 10 games to 3

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

Minnesota currently has 2 wins against Kansas City and 1 losses.
  Minnesota wins 10 additional games against Kansas City and loses 0.
  Minnesota wins the series 12 games to 1

Chicago wins 59 games agains teams outside the division and loses 40.
Cleveland wins 26 games agains teams outside the division and loses 59.
Detroit wins 92 games agains teams outside the division and loses 0.
Kansas City wins 43 games agains teams outside the division and loses 48.
Minnesota wins 98 games agains teams outside the division and loses 1.

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