Solution
To change your serial number, you'll need to deactivate and then reactivate your software using the new serial number. 
1. Deactivate your software, following the steps in the article: 
Deactivating and Transferring a Product2. Reactivate your software by following the 
How to Activate NI Software Products walk-through and using your new, updated, or correct serial number.
The updated serial number will appear in NI License Manager, which can be opened by navigating to 
Start » Programs » National Instruments » NI License Manager. 
NI License Manager 4.0 and higher:
NI License Manager 3.7 and lower: