Does the LRSAM on navy ships have a range of 100km?
If I'm not wrong then there's no 100km ranged missile; only 35km, 70km and 150km ones.
It's going to bit confusing...
1. Barak 8, Barak MRAD and MRSAM are the same missile; 35km range.
2. Barak 8ER, Barak LRAD and LRSAM are the same missile with a range of 70km. Also a fun fact; it's almost impossible to visually distinguish from these and the previous ones as the change is in rocket motor.
3. Barak ER and ERSAM are the same missile; 150km ranged. Very easy to differentiate from other two because of the presence of a large booster motor.
Now to answer your question, Naval VLS can only accomodate 1 and 2 because 3 has a larger diameter than existing tubes. So without any big modification the maximum Navy can reach with Baraks is 70km.