The wisdom in the Sunnah’s repetition of the closing salam three times

Question:
The closing salam three times...?

Answer:
It is understood to apply when there are many people, otherwise they would not understand. For this reason, in the other wording: And as for when they understand, it ends; there is no longer a need for repetition.
He would say the salam three times for reasons: either because of the large number of people and their distance from one another, so that they would understand his words, or for other reasons that necessitate it.
And so is the repetition of a word until it is understood from him; because he is a legislator who does not speak from desire. For this reason, he wanted them to understand what he says and to memorize it well, so that they would not transmit from the Prophet (peace and blessings be upon him) except things that are established.