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IKMC 2023 - Grades 11-12 - Set 2 - Self-study Question 27

IKMC · IKMC 2023 - Grades 11-12 - Set 2 - Self-study

Question 27

Find the greatest common divisor of all numbers $n^3(n+1)^3(n+2)^3(n+3)^3(n+4)^3$, where n is a positive integer.
  1. $2^9 3^3$
  2. $2^3 3^3 5^3$
  3. $2^6 3^3 5^3$
  4. $2^8 3^2 5^3$
  5. $2^9 3^3 5^3$