Banka, you are right in the sense that LSE said maths are not required but as most candidates do, it's sort of become an unofficial requirement (to put in in words). Anyway, there are options you can take first year for thsoe who have not done math.
I would have said, give it a shot but your PS would have to be really strong and show a lot of enuthsiasm about the subject. what are yours extra cirricular's like? LSE quite like EC's alot.