NO. The impedance of the three cabs would be below the minimum impedance of your head which is 4Ohms. The total nominal impedence fo the combination would be about 2.6Ohms.
Markbass - Little Mark III
You would need to use the line out into another amp to feed the 2x10 cab. This would also give you the opportunity to eq the 2x10 differently than the the 15s and adjust the volume level to balance with the 15s. Also, not as aesthetically pleasing, you will get a better tone if you position the 2x10 so that the two drivers are aligned vertically. Lot's of good threads in the amp section to this end.
The two outputs on your amp are just wired in parallel (ie. the same as your jacks on the cabs). They do this for flexibility of connection, like if the two cabs you have only have one input jack. So, daisy chaining your cabs of off each other using one output from your LM3 is the same as using both outputs from your LM3 to each cab separately.
Using the other speaker output on your head is no different than daisy chaining your 2x10 with your two 15 cabs.
Info on combining speakers...
Speaker Wiring Info