Colorado Rockies First-Place Clinch Scenario

Colorado's traditional magic number (relative to second-place Los Angeles) is 1 + 161 - 1 + 1 = 162.
Colorado's first-place clinch number is 155.
Colorado must win 155 more games (156 total) to clinch first place.

If Colorado wins 155 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 155 of their remaining 161 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 155 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
Los Angeles      1	0	161	      13 - 6 = 7	155
San Diego        0	1	161	      12 - 6 = 6	155
Arizona          0	1	161	      13 - 6 = 7	154
San Francisco    0	1	161	      13 - 6 = 7	154

The table above shows that if Colorado wins 155 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 155, consider the following scenario in which Colorado wins 154 more games (155 total) but does not finish in first place:

Team             W	L	PCT	GB
San Francisco    155	7	0.957	0.00
Colorado         155	7	0.957	0.00
Arizona          77	85	0.475	78.00
Los Angeles      71	91	0.438	84.00
San Diego        53	109	0.327	102.00

Tie breakers
San Francisco 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
Colorado         1	0	161	1.000	0.0
Los Angeles      1	0	161	1.000	0.0
Arizona          0	1	161	0.000	1.0
San Diego        0	1	161	0.000	1.0
San Francisco    0	1	161	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 Los Angeles and 1 losses.
  Arizona wins 12 additional games against Los Angeles and loses 0.
  Arizona wins the series 12 games to 1

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

Colorado currently has 0 wins against Arizona and 0 losses.
  Colorado wins 13 additional games against Arizona and loses 0.
  Colorado 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 1 wins against San Diego and 0 losses.
  Colorado wins 12 additional games against San Diego and loses 0.
  Colorado wins the series 13 games to 0

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

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

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

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

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

Arizona wins 52 games agains teams outside the division and loses 58.
Colorado wins 110 games agains teams outside the division and loses 0.
Los Angeles wins 70 games agains teams outside the division and loses 40.
San Diego wins 40 games agains teams outside the division and loses 70.
San Francisco wins 109 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.
# Colorado Rockies' magic number
# Colorado's magic number
# Rockies' magic number
# MLB Playoff Race