Colorado Rockies First-Place Clinch Scenario

Colorado's traditional magic number (relative to first-place Los Angeles) is 2 + 160 - 0 + 1 = 163.
Colorado's first-place clinch number is 156.
Colorado must win 156 more games (156 total) to clinch first place.

If Colorado wins 156 more games, their final win total will be at least 156.
The table below shows the best case scenario for each of the other teams if Colorado wins 156 of their remaining 162 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 Colorado' column gives the
minimum number of games that each team will lose to Colorado if Colorado wins 156 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          0	0	162	      13 - 6 = 7	155
Los Angeles      2	0	160	      13 - 6 = 7	155
San Diego        0	0	162	      13 - 6 = 7	155
San Francisco    0	0	162	      13 - 6 = 7	155

The table above shows that if Colorado wins 156 more games (156 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 156, consider the following scenario in which Colorado wins 155 more games (155 total) but does not finish in first place:

Team             W	L	PCT	GB
Arizona          155	7	0.957	0.00
Colorado         155	7	0.957	0.00
Los Angeles      71	91	0.438	84.00
San Diego        26	136	0.160	129.00
San Francisco    12	150	0.074	143.00

Tie breakers
Arizona wins the season series with Colorado 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      2	0	160	1.000	0.0
Arizona          0	0	162	0.000	1.0
Colorado         0	0	162	0.000	1.0
San Diego        0	0	162	0.000	1.0
San Francisco    0	0	162	0.000	1.0

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


Arizona currently has 0 wins against Colorado and 0 losses.
  Arizona wins 7 additional games against Colorado and loses 6.
  Arizona wins the series 7 games to 6

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 0 losses.
  Arizona wins 13 additional games against San Francisco and loses 0.
  Arizona wins the series 13 games to 0

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 0 wins against San Diego and 0 losses.
  Los Angeles wins 13 additional games against San Diego and loses 0.
  Los Angeles wins the series 13 games to 0

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

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

Arizona wins 109 games agains teams outside the division and loses 1.
Colorado wins 110 games agains teams outside the division and loses 0.
Los Angeles wins 43 games agains teams outside the division and loses 65.
San Diego wins 13 games agains teams outside the division and loses 97.
San Francisco wins 12 games agains teams outside the division and loses 98.

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