Colorado Rockies First-Place Clinch Scenario

Colorado's traditional magic number (relative to first-place Los Angeles) is 12 + 141 - 4 + 1 = 150.
Colorado's first-place clinch number is 142.
Colorado must win 142 more games (146 total) to clinch first place.

If Colorado wins 142 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 Colorado wins 142 of their remaining 143 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 Colorado' column gives the
minimum number of games that each team will lose to Colorado if Colorado wins 142 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Colorado, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Colorado	Maximum W
Arizona          9	11	142	       6 - 1 = 5	146 *See tie-breaking notes below.
Los Angeles      12	9	141	     13 - 1 = 12	141
San Diego        11	10	141	     13 - 1 = 12	140
San Francisco    9	11	142	     13 - 1 = 12	139

Tie-breakers:
Colorado has won 2 game(s) against Arizona and lost 5.
There are 6 games left in the series.
In the scenario above, Colorado wins 2 + 5 = 7 games against Arizona and loses 5 + 1 = 6.

The table above shows that if Colorado wins 142 more games (146 total), then they will finish the season in first place in the division.

To see that Colorado's first-place clinch number cannot be less than 142, consider the following scenario in which Colorado wins 141 more games (145 total) but does not finish in first place:

Team             W	L	PCT	GB
Arizona          146	16	0.901	0.00
Colorado         145	17	0.895	1.00
Los Angeles      63	99	0.389	83.00
San Diego        53	109	0.327	93.00
San Francisco    51	111	0.315	95.00

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 3 wins against San Francisco and 0 losses.
  Los Angeles wins 9 additional games against San Francisco and loses 1.
  Los Angeles wins the series 12 games to 1

San Diego currently has 3 wins against Los Angeles and 2 losses.
  San Diego wins 8 additional games against Los Angeles and loses 0.
  San Diego wins the series 11 games to 2

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 97 games agains teams outside the division and loses 1.
Los Angeles wins 42 games agains teams outside the division and loses 55.
San Diego wins 28 games agains teams outside the division and loses 73.
San Francisco wins 41 games agains teams outside the division and loses 60.

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