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6 of them.
Oh, what a happy little question! To find the multiples of 4 and 6 below one thousand, we need to see how many times each number fits into 1000. For 4, we divide 1000 by 4 to get 250 multiples. For 6, we divide 1000 by 6 to get 166 multiples. But wait, we've counted the multiples of 24 twice, so we need to subtract those extras to find the total number of unique multiples.
They are the multiples of 6. Since there are infinitely many of them I will not even attempt to list all of them.
All multiples of 6 (and only those) fulfill this requirement.All multiples of 6 (and only those) fulfill this requirement.All multiples of 6 (and only those) fulfill this requirement.All multiples of 6 (and only those) fulfill this requirement.
There are four: 6, 12, 18, 24.