Arizona Diamondbacks First-Place Clinch Scenario

Arizona's traditional magic number (relative to first-place Los Angeles) is 12 + 141 - 9 + 1 = 145.
Arizona's first-place clinch number is 138.
Arizona must win 138 more games (147 total) to clinch first place.

If Arizona wins 138 more games, their final win total will be at least 147.
The table below shows the best case scenario for each of the other teams if Arizona wins 138 of their remaining 142 games and loses the other 4.
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 Arizona' column gives the
minimum number of games that each team will lose to Arizona if Arizona wins 138 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Arizona, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Arizona	Maximum W
Colorado         4	15	143	       6 - 4 = 2	145
Los Angeles      12	9	141	      13 - 4 = 9	144
San Diego        11	10	141	      13 - 4 = 9	143
San Francisco    9	11	142	      12 - 4 = 8	143

The table above shows that if Arizona wins 138 more games (147 total), then they will finish the season in first place in the division.

To see that Arizona's first-place clinch number cannot be less than 138, consider the following scenario in which Arizona wins 137 more games (146 total) but does not finish in first place:

Team             W	L	PCT	GB
Colorado         146	16	0.901	0.00
Arizona          146	16	0.901	0.00
Los Angeles      61	101	0.377	85.00
San Diego        17	145	0.105	129.00
San Francisco    9	153	0.056	137.00

Tie breakers
Colorado wins the season series with Arizona 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Los Angeles      12	9	141	0.571	0.0
San Diego        11	10	141	0.524	1.0
Arizona          9	11	142	0.450	2.5
San Francisco    9	11	142	0.450	2.5
Colorado         4	15	143	0.211	7.0

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


Arizona currently has 0 wins against Los Angeles and 0 losses.
  Arizona wins 13 additional games against Los Angeles and loses 0.
  Arizona wins the series 13 games to 0

Arizona currently has 0 wins against San Diego and 0 losses.
  Arizona wins 13 additional games against San Diego and loses 0.
  Arizona wins the series 13 games to 0

Arizona currently has 0 wins against San Francisco and 1 losses.
  Arizona wins 12 additional games against San Francisco and loses 0.
  Arizona wins the series 12 games to 1

Colorado currently has 2 wins against Arizona and 5 losses.
  Colorado wins 5 additional games against Arizona and loses 1.
  Colorado wins the series 7 games to 6

Colorado currently has 0 wins against Los Angeles and 0 losses.
  Colorado wins 13 additional games against Los Angeles and loses 0.
  Colorado wins the series 13 games to 0

Colorado currently has 0 wins against San Diego and 0 losses.
  Colorado wins 13 additional games against San Diego and loses 0.
  Colorado wins the series 13 games to 0

Colorado currently has 0 wins against San Francisco and 0 losses.
  Colorado wins 13 additional games against San Francisco and loses 0.
  Colorado wins the series 13 games to 0

Los Angeles currently has 2 wins against San Diego and 3 losses.
  Los Angeles wins 8 additional games against San Diego and loses 0.
  Los Angeles wins the series 10 games to 3

Los Angeles currently has 3 wins against San Francisco and 0 losses.
  Los Angeles wins 10 additional games against San Francisco and loses 0.
  Los Angeles wins the series 13 games to 0

San Diego currently has 3 wins against San Francisco and 4 losses.
  San Diego wins 6 additional games against San Francisco and loses 0.
  San Diego wins the series 9 games to 4

Arizona wins 98 games agains teams outside the division and loses 0.
Colorado wins 98 games agains teams outside the division and loses 0.
Los Angeles wins 31 games agains teams outside the division and loses 66.
San Diego wins 0 games agains teams outside the division and loses 101.
San Francisco wins 0 games agains teams outside the division and loses 101.

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