Your job as an intern is to measure out precisely \(\frac{1}{60}\) liters of hydrochloric acid. Unfortunately, you don't have flasks or beakers that can directly measure that quantity. In fact, all you can use for this task is:

(1) 3 Erlenmeyer flasks, each marked as being able to hold \(\frac{1}{3},\frac{1}{4}\), and \(\frac{1}{5}\) liters, respectively.

(2) A tank of some unknown quantity of hydrochloric acid for filling your flasks, and

(3) A chemical disposal zone for dumping hydrochloric acid (dumping back into the tank is not allowed).

What is the minimum amount of hydrochloric acid that, when poured out of the tank (through some unknown means), allows us to knowingly and successfully measure \(\frac{1}{60}\) liters of hydrochloric acid with the equipment provided?

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