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Up to six funds side by side, and how much of each is the same portfolio as the others. Overlap is Σ min(weight) over the stocks both hold, from the latest disclosures.

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Overlap

share of the portfolio the two funds hold in common

LIC MF Large & Mid CapMirae Asset Large & Midcap
LIC MF Large & Mid Cap
itself
21%
Mirae Asset Large & Midcap
21%
itself

Most alike: LIC MF Large & Mid Cap Fund and Mirae Asset Large & Midcap Fund share 21% of their portfolios. Two funds this different are doing different things; whether that is what you want is a separate question.

Side by side

record, cost, returns, drawdown, size

MeasureLIC MF Large & Mid CapMirae Asset Large & Midcap
CategoryLarge & Mid CapLarge & Mid Cap
Share of three-year stretches it beat its category P441% of 10463% of 109
Regular plan costs more than Direct by, a year P51.52%1.08%
Portfolio turned over a year P1160%83%
Run by P7Sudhanshu Asthana · 5 moNeelesh Surana · 16 yrs
1-year return0.9%2.6%
3 years p.a.14.3%12.3%
5 years p.a.11.5%10.8%
Deepest fall (max drawdown)−18.7%−19.5%
Assets (AUM)₹3,175 Cr₹44,748 Cr
Disclosed history8.3 yrs5.1 yrs
Holdings · top ten weight42 · 34%86 · 32%

Funds in different categories are not comparable on returns — a category error is the first thing the postulates refuse to make. Compare each to its own category on its fund page.