Why do you need multiple pre-approvals? Just to compare banks, get one bank to pull the credit score and ask other banks about their rates based on that credit score.
Based on the simulator on MyFico.com, my score would drop by 5 points for an inquiry. That could be different in your case, and different versions of the FICO score could count it differently, but I would assume it to be in that ballpark.
Credit inquiries have low impact on your credit score. Your credit score exists so you can use it to get the best rate. When shopping for something huge like a mortgage go crazy and shop around. Don't worry about an arbitrary number
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If all of the pre approvals are within a short span of time like 7-10 days, they will all be consolidated to 1 or 2 hits as they know you are shopping for something and are comparing rates. Other than that, hard hits do hurt the score early on when you have a smaller avg age of credit lines.