Maximum Number of Lateral Radicals
One.

Characters can be made up of -or- contain lots of "radicals" but there will only be one that is the actual radical. 

For instance the character 落 has both 艹 and 氵as components but it's radical is only one: 艹. 

Characters can also have simplified &amp; traditional radicals.

For example: 卡 has a simplified radical of: 丨 and a traditional radical: 卜 - where 丨 is obviously not a simplification of 卜. The aforementioned 落 on the other hand also has simplified and traditional radicals 艹 &amp; 艸 --- where 艹 is just a straight up simplification of 艸.