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Omni-MATH / Call a positive integer n quixotic if the value of lcm(1,2,3,…,n)⋅((1)/(1)+(1)/(2)+(1)/(3)+…+(1)/(n)) is divisible by 45 . Compute the tenth smallest quixotic integer. · Discussion

Discussing Call a positive integer n quixotic if the value of lcm(1,2,3,…,n)⋅((1)/(1)+(1)/(2)+(1)/(3)+…+(1)/(n)) is divisible by 45 . Compute the tenth smallest quixotic integer. · Omni-MATH

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