Find the number of positive integers that are divisors of at least one of $10^{10}, 12^{12}, 15^{15}$. As far as I have reached is the number of factors are 121,325,256 respectively
2026-03-29 15:39:00.1774798740
Find the number of positive integers that are divisors of at least one of $10^{10}, 12^{12}$ or $15^{15}$.
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Hint:
Use the inclusion-exclusion formula. It shouldn't be very long, as each pair of numbers has only one common prime factor.