What is LoL Gacha Calculator?
LoL Gacha Calculator is a free, community-built tool designed to help League of Legends and Teamfight Tactics players make smarter purchasing decisions when using Riot's gacha systems like the Sanctum.
We created this calculator because we noticed players often overspend on RP without realizing there are mathematically optimal ways to approach gacha purchases. By analyzing thousands of possible package combinations, our tool finds strategies that can save you significant money.
The Problem We Solve
When facing a gacha system, players typically make one of two mistakes:
- Buying the biggest package: While it has the best RP/€ ratio, you might get lucky early and waste money on unneeded RP
- Buying small packages repeatedly: You miss out on significant bonus RP (up to 21.5% extra)
Our calculator finds the sweet spot - a strategy that balances the probability of getting lucky early against the value of bonus RP from larger packages.
How It Works
The calculator evaluates thousands of possible package combinations and purchase strategies to find:
- Optimal Strategy: Minimizes your expected (average) cost by accounting for the probability of winning before pity. This strategy is best if you're okay with some variance in exchange for lower average cost.
- Most Bonus RP Strategy: Minimizes the worst-case cost assuming you need to reach pity. This strategy maximizes bonus RP and is best if you want to prepare for the unluckiest scenario.
The Math Behind It
Our algorithm uses probability theory and optimization techniques to evaluate strategies. For each possible sequence of package purchases, we calculate:
- The probability you'll need each subsequent package (based on drop rates)
- The expected cost: Σ(Package Cost × Probability of Needing It)
- The worst-case cost: Total cost if you reach pity
- Leftover RP in various scenarios
For a deep dive into our methodology, check out our Mathematical Analysis page.
Features
- Multiple Currency Support: EUR, USD, CAD, BRL, AUD, NZD with accurate regional RP pricing
- Customizable Inputs: Adjust current RP, pulls until pity, drop chance, and cost per pull
- Strategy Comparison: See both optimal and worst-case strategies side by side
- Probability Visualization: Interactive chart showing cost distribution across luck scenarios
- Step-by-Step Guidance: Clear instructions on which packages to buy and when
- Mobile Friendly: Full functionality on phones and tablets
Who Made This?
LoL Gacha Calculator was created by Medium Fun, a small team of gamers and developers who play League of Legends ourselves. We built this tool to help the community make better-informed decisions about in-game purchases.
This is a passion project - we don't make money from the calculator itself. The site may display ads to cover hosting costs, but our primary goal is providing value to the LoL community.
Disclaimer
This tool is created for entertainment and educational purposes only. Results are based on mathematical probability models and may not perfectly reflect in-game mechanics. Key points:
- Always verify current RP prices in the game client before purchasing
- Game mechanics (drop rates, pity thresholds) may change without notice
- Our calculations are estimates - actual results depend on luck
- Never spend more than you can afford
This calculator is not affiliated with, endorsed by, or sponsored by Riot Games. League of Legends, Teamfight Tactics, and Riot Points are trademarks of Riot Games, Inc.
Contact
Have questions, feedback, or found a bug? We'd love to hear from you!
Email: info@mediumfun.com
Resources
- Calculator - The main RP optimization calculator
- Mathematical Analysis - Deep dive into our algorithms
- Sanctum Guide - Learn how the LoL gacha system works
- RP Buying Guide - Compare RP packages and bonus values
- Privacy Policy
- Terms of Service