San Francisco Giants First-Place Clinch Scenario

San Francisco's traditional magic number (relative to first-place Los Angeles) is 56 + 67 - 52 + 1 = 72.
San Francisco's first-place clinch number is 65.
San Francisco must win 65 more games (117 total) to clinch first place.

If San Francisco wins 65 more games, their final win total will be at least 117.
The table below shows the best case scenario for each of the other teams if San Francisco wins 65 of their remaining 67 games and loses the other 2.
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 San Francisco' column gives the
minimum number of games that each team will lose to San Francisco if San Francisco wins 65 more games. Assuming that a team wins all of its remaining games except for
the games it loses to SanFrancisco, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to San Francisco	Maximum W
Los Angeles      56	39	67	       9 - 2 = 7	116
San Diego        51	43	68	       7 - 2 = 5	114
Arizona          46	49	67	       6 - 2 = 4	109
Colorado         22	72	68	       6 - 2 = 4	86

The table above shows that if San Francisco wins 65 more games (117 total), then they will finish the season in first place in the division.

To see that San Francisco's first-place clinch number cannot be less than 65, consider the following scenario in which San Francisco wins 64 more games (116 total) but does not finish in first place:

Team             W	L	PCT	GB
Los Angeles      117	45	0.722	0.00
San Francisco    116	46	0.716	1.00
San Diego        87	75	0.537	30.00
Arizona          84	78	0.519	33.00
Colorado         69	93	0.426	48.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Los Angeles      56	39	67	0.589	0.0
San Francisco    52	43	67	0.547	4.0
San Diego        51	43	68	0.543	4.5
Arizona          46	49	67	0.484	10.0
Colorado         22	72	68	0.234	33.5

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


Colorado currently has 2 wins against Arizona and 4 losses.
  Colorado wins 5 additional games against Arizona and loses 2.
  Colorado wins the series 7 games to 6

Los Angeles currently has 4 wins against Arizona and 3 losses.
  Los Angeles wins 6 additional games against Arizona and loses 0.
  Los Angeles wins the series 10 games to 3

Los Angeles currently has 6 wins against Colorado and 0 losses.
  Los Angeles wins 7 additional games against Colorado and loses 0.
  Los Angeles wins the series 13 games to 0

Los Angeles currently has 5 wins against San Diego and 2 losses.
  Los Angeles wins 6 additional games against San Diego and loses 0.
  Los Angeles wins the series 11 games to 2

San Diego currently has 3 wins against Arizona and 4 losses.
  San Diego wins 6 additional games against Arizona and loses 0.
  San Diego wins the series 9 games to 4

San Diego currently has 5 wins against Colorado and 1 losses.
  San Diego wins 6 additional games against Colorado and loses 1.
  San Diego wins the series 11 games to 2

San Francisco currently has 3 wins against Arizona and 4 losses.
  San Francisco wins 6 additional games against Arizona and loses 0.
  San Francisco wins the series 9 games to 4

San Francisco currently has 5 wins against Colorado and 2 losses.
  San Francisco wins 6 additional games against Colorado and loses 0.
  San Francisco wins the series 11 games to 2

San Francisco currently has 2 wins against Los Angeles and 2 losses.
  San Francisco wins 6 additional games against Los Angeles and loses 3.
  San Francisco wins the series 8 games to 5

San Francisco currently has 2 wins against San Diego and 4 losses.
  San Francisco wins 7 additional games against San Diego and loses 0.
  San Francisco wins the series 9 games to 4

Arizona wins 36 games agains teams outside the division and loses 6.
Colorado wins 41 games agains teams outside the division and loses 0.
Los Angeles wins 39 games agains teams outside the division and loses 0.
San Diego wins 24 games agains teams outside the division and loses 18.
San Francisco wins 39 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.
# San Francisco Giants' magic number
# San Francisco's magic number
# Giants' magic number
# MLB Playoff Race