Samsung is yet to release Android Lollipop update for its Note series but this is not going to stop developers from releasing custom ROMs for the devices. Now a XDA senior member jamal2367 has successfully ported the unofficial CyanogenMod 12 build to the LTE edition of Galaxy Note 3. As this is an unofficial ROM, some of the features are working and some are not. We dont suggest you to use this as your daily driver and wait for Samsung to release official update.
If you are curious and wanna taste this new ROM then you can do it by following below mention step, but flashing custom ROMs are not advisable for anyone. If you are not familiar with flashing ROM then stop here as you may brick your phone. If anything happen with your phone or with you during this process then we are not responsible for this. Do this at your own risk.