The book of Leviticus is entirely a priestly source, filled with rules to live in the land of Israel and rituals. It was written sometime after 1467 BC but later revisions and clarifications regarding the feasts days can be clearly noticed.
The book of Numbers is a long and complex history of children of Israel which includes two census, but its final form is considered to be a Priestly redaction of a Yahwist source. As the book itself says, the it’s original sources may have been written as old as 1428 BC of Moses spoke in the plains of Moab by the Jordan. However revisions to the book of Numbers can be clearly around 1095 BC due to terms like ‘prophets’ not used by children of Israel prior to Samuel.
Just like the book of Exodus which preserves the truth about the scribe’s familiarity about Egyptian calendar, the book of Deuteronomy preserves the lack of references to feasts with respect to God’s calendar, proving that they were still in wilderness when the book was first written about 1428 BC. However, some content were claimed to be added by Joshua some 25 years later and revisions by scribes can be clearly noticed as late as 896 BC.
The book of Exodus preserves the truth about the scribe’s familiarity about Egyptian calendar by mentioning the feast of Ingathering in year end using Egyptian based on the seasonal cycles of river Nile while the other books in the law mentions it as feast of Tabernacles in seventh month using the calendar given by God based on the seasons in ancient Israel. This means, the earliest content written in the book of Exodus must be as old as 1468 BC.
The book of Joshua was either an older document or compiled from an older document written prior to 1075 BC which got continually revised and additional information added based on events with last noticeable revision after 850 BC. Hence, we can confidently place the book of Joshua prior to the book of Judges in 1075 BC and last revision after 850 BC.
The internal evidence from the Scripture itself shows that the book of Judges must have been written after the Ark of the covenant was moved from Shiloh and before Jerusalem was captured by king David. This gives us a more precise time period between 1085-1065 BC when Samuel was judging Israel.
The internal evidence from the Scripture itself shows that the book of Genesis must have been compiled when Calah was a great city and during the reign of David. It is important to note that the content in Genesis might have been from much older documents but the book of Genesis as we have today for the most part was written and compiled around 1060 BC during the reign of David .