If the product of the integers from 1 to n is divisible…

If the product of the integers from 1 to n is divisible by 378, what is the least possible value of n?

This problem repeats another one in the library (at most with different numbers), so it's left out of browsing.

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #38499