http://www.3starinc.com/power_passin..._splitter.html
Most splitters are multiples of a basic 2-way design which is why you will commonly see 2, 4 and 8 port designs. Look close at most 3-way splitters and you may notice that one of the output ports has less loss than the other two. That's because internally, the devise is two, 2-way splitters in series.
Your Leviton DA will be able to drive the 6 or 8-way split. If you have problems, run an FM fool report. We would be looking for possible sources of interference or overload. No need to be pessimistic.