So this is my 1st build so if you think it's bad ok.
So I did my build based on another Lux build and in this build the items are good choice because in late game I get my ulti with 30 seconds of cooldown and 1k damage.The spells can change depending of the map beacause if 5vs5 I use Clarity and Teleport so the turrets dont get destroyed early.If against Shen or Dr.Mundo wtih very magic resist you can do a Void Staff instead of a Rylai Crystal Scepter.

Starting game:
I buy a Amplifying Tome instead of a Doran's Ring so I can do Mejai's Soulstealer.
The next step it's farming gold with the Lucent Singularity and then go back and buy Ionian Boots of Lucidity.In 15 min your near the Rabadon's Deathcap or doing the Rylai Crystal Scepter.

Late game:
In late game you get the Archangel's Staff but if you want you can change it making a Nashor's Tooth instead of the last Archangel's Staff.

Item Core:
-Mejai's Soulstealer
-Ionian Boots of Lucidity
-Rabadon's Deathcap

Please Rate and Comment!!!