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MathNet 2016-part-04 — 184 problems (EN–VI) Question 124

Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)

Question 124

Peter chose 10 consecutive positive integers. He wrote down each of the chosen numbers either in red or in blue (both colors are present). Is it possible that the sum of the l.c.m. of the red numbers and the l.c.m. of the blue numbers has a decimal representation ending up with 2016? (O. Dmitriev, R. Zhenodarov)