MSP430F477: Current consumption of LPM1

Hello,
unfortunately there is no easy answer to your question. The flexibility and possible operating conditions in very detail are too many, to allow specification of all possible modes.
Our recommendation would be, taking one sample, testing it in terms of current consumption at one of the settings, specified in the datasheet, like in this case with LPM0, and than test it under conditions, which you would like it to operate at. The test at specified conditions is meant to get the indication, whether you have a typical sample in front of you, or a marginal one.
To comment a bit in more detail on your point of interest. If you look into the User's Guide slau056l.pdf, you will find in the table Figure 2−9. MSP430x4xx Operating Modes For FLL+ Clock System the more detailed explanations on the differences of the LPMs.
Doing so, you'll see there is only one potential difference, dependent on your use case, where in comparison to LPM0, the DCO voltage generator might be off under certain conditions. This means, either the LPM1 current is exactly the same as LPM0, or the difference will be DCO voltage generator being off or on. This is controlled by SCG0 in the status register. So easily to test.

Best regards
Peter