There are 2 train companies operating 6 routes - EC62, 975, IC62, 975, 975, 975. The cheapest train costs $86 and is 3h 58min.
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There are 4 ways to travel from MUC to ACH. 2 flights, 3 trains, 4 buses and 1 by car are possible between the two areas. The by car from MUC to ACH is the cheapest and fastest. The train operated by running from München Leuchtenbergring to Bad Schachen is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!