@Dustin Barr Do you know why the seller is selling? If not, find out his motivation for selling such great cash flowing properties. Find out if he has a mortgages on these properties. If he has can they be assumed? If they can then all you need to come up with are the equity balances on each property.
If he is selling because he is tired of managing the property but likes the income, ask if the owner will consider owner financing the properties; providing he doesn't have large mortgages on it. Or would the owner consider doing a master lease on the entire package, so he gets one check from you equivalent to his present net income; you make your money from the increase in rents and have a long term option agreement to buy at a great price. No banks needed on this one; just some cash to make the realtor happy.
Lastly, the seller is most likely will be doing a 1031 exchange to defer his taxes; if you're able to buy the properties in the traditional manner, he would be looking to re-invest into a bigger type property. Great opportunity for you to potentially co-invest with someone who is cash heavy into a bigger apartment building.