I have checked your account details and the membership is active under your account.
Please refer to the help documents below to download the Adobe CC desktop app:
Please sign in with your Adobe ID to the application, to activate the same.
Desktop apps downloaded and installed. but do not have a serial number to license Lightroom,
Well that is because you have the membership for Photoshop only.
Lightroom is not included.
Yes but i can't use it!
Creative cloud should not require serial number. but lightroom keeps asking for serial number
There are no serial numbers associated with Adobe CC.
In case you still get the pop up for serial number, please refer to the help document below:
You may also try to check your host file for any Adobe blocked entries.
In case there are any blocked Adobe entries, please delete them and then save the file.