If we list all the natural numbers below 20 that are multiples of 7 or 11, we get 7, 11 and 14. The sum of these multiples is 32
. What is the sum of all the multiples of 7 or 11 up to and including 1337?
1 answer:
Number of multiples of 7 up to 1337:
Number of multiples of 11 up to 1337:
Number of multiples of 77 up to 1337:
This means there are
distinct multiples of 7 *or* 11 up to 1337.
The sum of these multiples is
which can be computed using the well-known formula,
So you have
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