Somewhat of a trick question: the fewest outs will also be, with maybe one exception, the most outs.
There are three outs per innings per side, this makes for six outs in an inning.
There are a total of nine innings. this suggests that there are 54 outs in a Baseball game, provided all innings are played.
In some versions of the game, if the last side to bat has already won the game they can elect to not bat that innings, therefore making the fewest possible outs in a baseball game 51 instead.
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