San Francisco Giants First-Place Clinch Scenario

San Francisco's traditional magic number (relative to second-place Los Angeles) is 65 + 53 - 68 + 1 = 51.
San Francisco's first-place clinch number is 51.

If San Francisco wins 51 more games, their final win total will be at least 119.
The table below shows the best case scenario for each of the other teams if San Francisco wins 51 of their remaining 54 games and loses the other 3.
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 SanFrancisco' column gives the
minimum number of games that each team will lose to SanFrancisco if SanFrancisco wins 51 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 and maximum winning percentage are shown in the 'Maximum W' column.

Team             W	L	GL	Losses to SanFrancisco	Maximum W
Los Angeles      65	44	53	               0	118
San Diego        62	48	52	      10 - 3 = 7	107
Colorado         47	61	54	      10 - 3 = 7	94
Arizona          34	75	53	       6 - 3 = 3	84

The table above shows that if San Francisco wins 51 more games (119 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 51, consider the following scenario in which SanFrancisco wins 50 more games (118 total) but does not finish in first place.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
San Francisco    68	40	54	0.630	0.0
Los Angeles      65	44	53	0.596	3.5
San Diego        62	48	52	0.564	7.0
Colorado         47	61	54	0.435	21.0
Arizona          34	75	53	0.312	34.5

Next, we show how the remaining series of games in San Francisco's division plays out in the scenario:

Arizona wins 6 games against Colorado and loses 0.
Arizona wins 0 games against Los Angeles and loses 6.
Arizona wins 10 games against San Diego and loses 0.
Arizona wins 0 games against San Francisco and loses 6.
Arizona wins 25 games against teams outside the division and loses 0.

Colorado wins 0 games against Arizona and loses 6.
Colorado wins 0 games against Los Angeles and loses 6.
Colorado wins 3 games against San Diego and loses 0.
Colorado wins 0 games against San Francisco and loses 10.
Colorado wins 29 games against teams outside the division and loses 0.

Los Angeles wins 6 games against Arizona and loses 0.
Los Angeles wins 6 games against Colorado and loses 0.
Los Angeles wins 9 games against San Diego and loses 0.
Los Angeles wins 3 games against San Francisco and loses 0.
Los Angeles wins 29 games against teams outside the division and loses 0.

San Diego wins 0 games against Arizona and loses 10.
San Diego wins 0 games against Colorado and loses 3.
San Diego wins 0 games against Los Angeles and loses 9.
San Diego wins 1 games against San Francisco and loses 9.
San Diego wins 20 games against teams outside the division and loses 0.

San Francisco wins 6 games against Arizona and loses 0.
San Francisco wins 10 games against Colorado and loses 0.
San Francisco wins 0 games against Los Angeles and loses 3.
San Francisco wins 9 games against San Diego and loses 1.
San Francisco wins 25 games against teams outside the division and loses 0.

Combining the current standings with the wins and losses from the scenario results in the following final standings:
TEAM             W	L	GL	PCT
Los Angeles      118	44	0.728	0.0
San Francisco    118	44	0.728	0.0
San Diego        83	79	0.512	35.0
Colorado         79	83	0.488	39.0
Arizona          75	87	0.463	43.0

# San Francisco Giants's magic number
# San Francisco's magic number
# Giants's magic number
# MLB Playoff Race