Detroit Tigers First-Place Clinch Scenario

Detroit's traditional magic number (relative to first-place Cleveland) is 13 + 143 - 10 + 1 = 147.
Detroit's first-place clinch number is 138.
Detroit must win 138 more games (148 total) to clinch first place.

If Detroit wins 138 more games, their final win total will be at least 148.
The table below shows the best case scenario for each of the other teams if Detroit wins 138 of their remaining 143 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 Detroit' column gives the
minimum number of games that each team will lose to Detroit if Detroit wins 138 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
Cleveland        13	6	143	      13 - 5 = 8	148 *See tie-breaking notes below.
Kansas City      12	7	143	      13 - 5 = 8	147
Minnesota        6	11	145	       9 - 5 = 4	147
Chicago          3	15	144	      10 - 5 = 5	142

Tie-breakers:
Detroit has won 0 game(s) against Cleveland and lost 0.
There are 13 games left in the series.
In the scenario above, Detroit wins 0 + 8 = 8 games against Cleveland and loses 0 + 5 = 5.

The table above shows that if Detroit wins 138 more games (148 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 138, consider the following scenario in which Detroit wins 137 more games (147 total) but does not finish in first place:

Team             W	L	PCT	GB
Minnesota        147	15	0.907	0.00
Detroit          147	15	0.907	0.00
Cleveland        86	76	0.531	61.00
Kansas City      85	77	0.525	62.00
Chicago          76	86	0.469	71.00

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        13	6	143	0.684	0.0
Kansas City      12	7	143	0.632	1.0
Detroit          10	9	143	0.526	3.0
Minnesota        6	11	145	0.353	6.0
Chicago          3	15	144	0.167	9.5

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


Chicago currently has 1 wins against Cleveland and 2 losses.
  Chicago wins 6 additional games against Cleveland and loses 4.
  Chicago wins the series 7 games to 6

Cleveland currently has 0 wins against Kansas City and 0 losses.
  Cleveland wins 7 additional games against Kansas City and loses 6.
  Cleveland wins the series 7 games to 6

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 0 wins against Kansas City and 0 losses.
  Detroit wins 13 additional games against Kansas City and loses 0.
  Detroit wins the series 13 games to 0

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 0 wins against Chicago and 0 losses.
  Minnesota wins 13 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 11 additional games against Cleveland and loses 0.
  Minnesota wins the series 11 games to 2

Minnesota currently has 2 wins against Detroit and 2 losses.
  Minnesota wins 5 additional games against Detroit and loses 4.
  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 64 games agains teams outside the division and loses 41.
Cleveland wins 62 games agains teams outside the division and loses 34.
Detroit wins 97 games agains teams outside the division and loses 1.
Kansas City wins 64 games agains teams outside the division and loses 37.
Minnesota wins 102 games agains teams outside the division and loses 0.

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