Can you stay in Challenger without playing that much? What LP do Challengers reach at end of season?

I am curious: once I reach Challenger, is it possible to stay there playing only once every 10 days? I have never gotten to high elo before and I want my Challenger frame, but I presume that when the season gets close to its end, the LP of Challenger players raises dramatically. Right now low-Challengers seem to be around 300 LP, a few weeks ago they were 200 LP. My question is: what LP do Challengers get to when the end-of-season reward fight begins? Does it increase dramatically? If I get around Challenger 500 LP, could I just stay there until the end of season by playing very rarely?
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