Logical System for R/3 IDoc processing

Is there a way to use one logical system when data is coming from multiple sender communication channels?

We get data from several MQ Queues via JMS Sender Communication Channels. There is a separate queue per plant. No matter which queue a file comes in on, it needs to create the same IDoc type in R/3. So, they all need to be assigned the same logical system. Is this possible?