Los Angeles Dodgers First-Place Clinch Scenario

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

If Los Angeles 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 Los Angeles 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 Los Angeles' column gives the
minimum number of games that each team will lose to Los Angeles if Los Angeles wins 155 more games. Assuming that a team wins all of its remaining games except for
the games it loses to LADodgers, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Los Angeles	Maximum W
Arizona          0	1	161	      12 - 6 = 6	155
Colorado         1	0	161	      13 - 6 = 7	155
San Diego        0	1	161	      13 - 6 = 7	154
San Francisco    0	1	161	      13 - 6 = 7	154

The table above shows that if Los Angeles wins 155 more games (156 total), then they will finish the season in first place in the division.

To see that Los Angeles's first-place clinch number cannot be less than 155, consider the following scenario in which Los Angeles 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
Los Angeles      155	7	0.957	0.00
Colorado         77	85	0.475	78.00
San Diego        57	105	0.352	98.00
Arizona          22	140	0.136	133.00

Tie breakers
San Francisco wins the season series with Los Angeles 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 Colorado and 0 losses.
  Arizona wins 13 additional games against Colorado and loses 0.
  Arizona wins the series 13 games to 0

Los Angeles currently has 1 wins against Arizona and 0 losses.
  Los Angeles wins 12 additional games against Arizona and loses 0.
  Los Angeles wins the series 13 games to 0

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

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

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

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

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

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 3 games agains teams outside the division and loses 107.
Colorado wins 76 games agains teams outside the division and loses 34.
Los Angeles wins 110 games agains teams outside the division and loses 0.
San Diego wins 38 games agains teams outside the division and loses 72.
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.
# Los Angeles Dodgers' magic number
# Los Angeles's magic number
# Dodgers' magic number
# MLB Playoff Race