Detroit Tigers First-Place Clinch Scenario

Detroit's traditional magic number (relative to second-place Kansas City) is 28 + 111 - 33 + 1 = 107.
Detroit's first-place clinch number is 105.
Detroit must win 105 more games (138 total) to clinch first place.

If Detroit wins 105 more games, their final win total will be at least 138.
The table below shows the best case scenario for each of the other teams if Detroit wins 105 of their remaining 111 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 Detroit' column gives the
minimum number of games that each team will lose to Detroit if Detroit wins 105 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
Kansas City      28	23	111	       9 - 6 = 3	136
Minnesota        27	22	113	      10 - 6 = 4	136
Cleveland        27	22	113	      12 - 6 = 6	134
Chicago          15	35	112	      10 - 6 = 4	123

The table above shows that if Detroit wins 105 more games (138 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 105, consider the following scenario in which Detroit wins 104 more games (137 total) but does not finish in first place:

Team             W	L	PCT	GB
Kansas City      137	25	0.846	0.00
Detroit          137	25	0.846	0.00
Minnesota        85	77	0.525	52.00
Chicago          64	98	0.395	73.00
Cleveland        63	99	0.389	74.00

Tie breakers
Kansas City wins the season series with Detroit 8 games to 5.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Detroit          33	18	111	0.647	0.0
Cleveland        27	22	113	0.551	5.0
Minnesota        27	22	113	0.551	5.0
Kansas City      28	23	111	0.549	5.0
Chicago          15	35	112	0.300	17.5

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


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

Cleveland currently has 4 wins against Minnesota and 2 losses.
  Cleveland wins 4 additional games against Minnesota and loses 3.
  Cleveland wins the series 8 games to 5

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 1 losses.
  Detroit wins 12 additional games against Cleveland and loses 0.
  Detroit wins the series 12 games to 1

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

Kansas City currently has 4 wins against Chicago and 0 losses.
  Kansas City wins 9 additional games against Chicago and loses 0.
  Kansas City wins the series 13 games to 0

Kansas City currently has 2 wins against Cleveland and 4 losses.
  Kansas City wins 7 additional games against Cleveland and loses 0.
  Kansas City wins the series 9 games to 4

Kansas City currently has 1 wins against Detroit and 3 losses.
  Kansas City wins 7 additional games against Detroit and loses 2.
  Kansas City wins the series 8 games to 5

Kansas City currently has 3 wins against Minnesota and 1 losses.
  Kansas City wins 9 additional games against Minnesota and loses 0.
  Kansas City wins the series 12 games to 1

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

Chicago wins 49 games agains teams outside the division and loses 27.
Cleveland wins 22 games agains teams outside the division and loses 55.
Detroit wins 70 games agains teams outside the division and loses 0.
Kansas City wins 77 games agains teams outside the division and loses 0.
Minnesota wins 48 games agains teams outside the division and loses 32.

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