How long does it take to collect all of the champions?
I had some free time today so I decided to figure out how long it takes to collect all the champions. It turns out, about 4 years.
Method: Step 1: How much IP would it take? 13 450 IP Champions: 5,850 22 1,350 IP Champions: 29,700 24 3,150 IP Champions: 75,600 46 4,800 IP Champions: 220,800 32 6,300 IP Champions: 163,200 (Note: This is calculated using 5,100 instead, as rolling champion shards (1,700 x 3) is cheaper than buying the champions at 6,300.)
Total IP Cost of All Champions: 495,150
Step 2: How fast do you earn IP? IP from Win: 18 + 2.312/Min (87.36 for a 30 Min Game) IP from Loss: 16 + 1.405/Min (58.15 for a 30 Min Game)
First Win of the Day: 150 IP Assumption: 3 Games Per Day, Play Coop vs AI any time you lose the first 2 games.
Daily Rate: 368 IP / Day
Step 3: Simple Division 495,150 / 368 = 1344 Days, or 3 Years, 8 Months
But what if I am willing to spend RP on champions to accelerate this process?
Step 4: Money / RP There are 3 RP purchase Tiers that make the most sense on a monthly expenditure for League of Legends, so I'll work with those.
$10: 1,380 RP $20: 2,800 RP $35: 5,000 RP
Step 5: Value as IP To estimate the RP / IP conversion rate, we use the 6,300 IP champion rate of 975 RP or 5,100 IP.
5100 / 975 = 5.23
$10: 1,380 RP or 7,218 IP $20: 2,800 RP or 14,646 IP $35: 5,000 RP or 26,153 IP
Step 6: Adjust the Daily Rate to include RP Purchases $10 / Month: 7,218 / 30 + 368 = 609 IP $20 / Month: 14,646 / 30 + 368 = 856 IP $35 / Month: 26153 / 30 + 368 = 1,240 IP
Step 7: More Division $10 / Month: 495,150 IP / 609 IP Per Day = 813 Days or 2 Years, 3 Months $20 / Month: 495,150 IP / 856 IP Per Day = 578 Days or 1 Year, 7 Months $35 / Month: 495,150 IP / 1240 IP Per Day = 399 Days or 1 Year, 1 Month
Step 8: Bonus! You can improve your numbers even more if you pool your money until you can buy RP at the best rate available, and also purchase 6300 champions only when they are on sale. Values below, you can do the math.
$10/Month: 1 Year, 6 Months $20/Month: 11 Months $35/Month: 7 Months
Of course, I have to stress that these numbers are for collectors who want to own every single champion, not a metric for being competitive in normals or even in ranked. Leveraging free week champions in order to define and purchase a roster 15-30 champions for a competitive ranked experience takes much much less time.