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MathNet 2009-part-03 — 175 problems (EN–VI) Question 109

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 109

Is it possible to replace the stars in the equality
$$ \{\text{l.c.m.}\}(*, *, *) - \{\text{l.c.m.}\}(*, *, *) = 2009 $$
by six consecutive positive integers (but not necessarily in the successive order) so that the equality would be valid? (R. Zhenodarov)