|Children||Elam, Asshur, Arphaxad, Lud, Aram|
Shem was born when Noah was 500 years old. This is in 1556. But because the same is said about Japheth and Ham, they can't all have been born in 1556.
After Ham had told them, that Noah was lying in his tent drunk and naked, Shem and Japheth covered Noah's nakedness. This resulted in Ham's son Canaan being cursed and being made slave of Shem and Japheth.
Shems sons lived in the region from Mesha towards Sephar in the eastern hill country. After Shem became the father of Arphaxad, he had other sons and daughters. It is not recorded how many, though.