Well, you have quite a strong background in Finance, this if showcased properly can be an asset to your application.
Here are a few pointers about your profile:
UK schools are pretty particular about GPA.
76% roughly translates into a 3.0 GPA , which looks good
You have quite an extensive work ex in Finance - Pick the right data points from this experience to showcase why you are you want to take up finance as a long term career goal. You have not mentioned the name of the firms where you worked - Having a brand name ( viz. The big4) always helps.
Lack of extracurriculars can be a bit of an issue as schools prefer a holistic profile. Use your essays to justify reasons for the same as well as focus on other strengths of your profile to compensate for this.
Although your profile is good, remember that LSE is an extremely competitive school and is notorious for having paper thin acceptance rates ( There are no official stats, but as per insider reports the school selects about 46 applicants from 1,790 applications)
Your essays will play a key role in differentiating your profile so make sure you spend enough time on them.
Need to talk about the work you have done- Why you took up particular internships
LSE is not unreachable, but it is a good idea to check out a few more schools as safety options
LSE,LBS, HEC can be dream schools
ESCP, Imperial can be considered as competitive schools
EDHEC, Skema, Cass are easily reachable hence you can bucket them under safe schools.
For a better understanding on how to draft a strong MFin Application, check out this resource:
https://www.mim-essay.com/masters-finan ... y-editing/