A .m4a file can contain either ALAC (lossless compression) or AAC (lossy compression) audio data, among other formats. Many or all versions of iTunes can create .m4a files from imported music in either of those formats. The OP should check the "import settings" that were used in creating the .m4a files, and let us know which one was used.
Regards,
-- Al
Regards,
-- Al