Colorado Rockies First-Place Clinch Scenario

Colorado's traditional magic number (relative to first-place Los Angeles) is 20 + 129 - 7 + 1 = 143.
Colorado's first-place clinch number is 132.
Colorado must win 132 more games (139 total) to clinch first place.

If Colorado wins 132 more games, their final win total will be at least 139.
The table below shows the best case scenario for each of the other teams if Colorado wins all 132 of their remaining games.
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 132 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          14	18	130	       6 - 0 = 6	138
Los Angeles      20	13	129	     13 - 0 = 13	136
San Diego        16	18	128	       9 - 0 = 9	135
San Francisco    14	17	131	     13 - 0 = 13	132

The table above shows that if Colorado wins 132 more games (139 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 132, consider the following scenario in which Colorado wins 131 more games (138 total) but does not finish in first place:

Team             W	L	PCT	GB
Arizona          139	23	0.858	0.00
Colorado         138	24	0.852	1.00
San Francisco    74	88	0.457	65.00
Los Angeles      72	90	0.444	67.00
San Diego        67	95	0.414	72.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Los Angeles      20	13	129	0.606	0.0
San Diego        16	18	128	0.471	4.5
San Francisco    14	17	131	0.452	5.0
Arizona          14	18	130	0.438	5.5
Colorado         7	23	132	0.233	11.5

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


Arizona currently has 1 wins against Los Angeles and 2 losses.
  Arizona wins 10 additional games against Los Angeles and loses 0.
  Arizona wins the series 11 games to 2

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 2 wins against San Francisco and 2 losses.
  Arizona wins 9 additional games against San Francisco and loses 0.
  Arizona wins the series 11 games to 2

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 2 wins against San Diego and 2 losses.
  Colorado wins 9 additional games against San Diego and loses 0.
  Colorado wins the series 11 games to 2

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 7 additional games against San Diego and loses 1.
  Los Angeles wins the series 9 games to 4

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 Francisco currently has 4 wins against San Diego and 3 losses.
  San Francisco wins 3 additional games against San Diego and loses 3.
  San Francisco wins the series 7 games to 6

Arizona wins 92 games agains teams outside the division and loses 0.
Colorado wins 91 games agains teams outside the division and loses 0.
Los Angeles wins 35 games agains teams outside the division and loses 53.
San Diego wins 47 games agains teams outside the division and loses 45.
San Francisco wins 57 games agains teams outside the division and loses 36.

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