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MathNet 2023-part-07 — 187 problems (EN–VI) Question 149

Math Olympiad Vault · MathNet 2023-part-07 — 187 problems (EN–VI)

Question 149

The pairwise greatest common divisors of five positive integers are

$$
2, 3, 4, 5, 6, 7, 8, p, q, r
$$

in some order, for some positive integers $p, q, r$. Compute the minimum possible value of $p+q+r$.