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most power efficient structure, parallel or series LMR24210

To achieve longest battery life should I drive each LMR2410 with 12V (one is regulating to 5V,  one to 3.3,  one to 1.8, and one to 1.2v).  OR should I drive 5v into the 3.3 and 1.8 ans 1.2V regulators.  Estimated current draw for each voltage is 200mA?  the webbench tool shows >95% efficiency  wheather input is 12v or 5V for the 3.3 and 1.8 supplies.  Instead of looking at efficiency, maybe I should use WEBENCH reported power disipation for each IC in the different configuration to point to the solution?

Is there another suggstion? 

thanks