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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 Medium to Long TermBandhan Medium to Long Term
LIC MF Medium to Long Term
itself
21%
Bandhan Medium to Long Term
21%
itself

Most alike: LIC MF Medium to Long Term Fund and Bandhan Medium to Long Term 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 Medium to Long TermBandhan Medium to Long Term
CategoryMedium to Long TermMedium to Long Term
Share of three-year stretches it beat its category P424% of 10951% of 109
Regular plan costs more than Direct by, a year P50.66%0.77%
Portfolio turned over a year P1not measurednot measured
Run by P7Pratik Shroff · ≥ 6 moSuyash Choudhary · ≥ 2.8 yrs
1-year return5.0%5.7%
3 years p.a.7.3%6.5%
5 years p.a.6.3%5.3%
Deepest fall (max drawdown)−1.6%−1.9%
Assets (AUM)₹176 Cr₹3,523 Cr
Disclosed history10 yrs4.2 yrs
Holdings · top ten weight20 · 73%23 · 83%

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.