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Multiples of 3 or 5

 Published on Friday, 5th October 2001, 06:00 pm; Solved by 992297;
Difficulty rating: 5%

Problem 1

If we list all the natural numbers below $10$ that are multiples of $3$ or $5$, we get $3, 5, 6$ and $9$. The sum of these multiples is $23$.

Find the sum of all the multiples of $3$ or $5$ below $1000$.