Oh OK firstflabn, "All listed serial numbers should be considered to be approximations and are not exact" although I kinda figured the word Approximate would have made that clear.
@cpc, Here is some info that is more exact, On 20 April 1945 the following serial numbers were applied to Winchester Receivers 6578421-6579800, note that this is when the serial# was applied to the receiver not when the carbine was complete.