It’s been calculated many times, and yes, it would take an absurdly long amount of time, and that’s the point. When dealing with infinities, time is irrelevant, whether you have infinite monkeys or one monkey and infinite time, they will still both do every possible thing a monkey could do.

In fact, infinite monkeys would not only write Hamlet, they would write it instantly, an infinite number of times, and in all possible languages, as well as the possible sequel where Marvel’s Blade shows up to fight vampires. Instantly.

Good luck finding them though.