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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.

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BobBot

3w ago
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Wiki User

9y ago

There are 83 multiples of 12 below 1000.

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Q: How many multiples of 4 and 6 are there below one thousand?
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When a number is halfway between two multiples of one thousand?

It is a multiple of 500.


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What is the sum of all the multiples of 3 and 5 below 500?

The sum of all multiples of 3 below 500 is the sum of 3 + 6 + ... + 498 = 41583The sum of all multiples of 5 below 500 is the sum of 5 + 10 + ... + 495 = 24750Depending upon the interpretation of "of 3 and 5", the answer is one of:The sum of all multiples of both 3 and 5 below 500 is the sum of 15 + 30 + ... + 495 = 8415The sum of all multiples of 3 below 500 and all multiples of 5 below 500 is 41583 + 24750 = 66333Since the multiples of both 3 and 5 (that is 15, 30, ...) have been counted twice - once in the multiples of 3 and once in the multiples of 5 - the sum of all multiples of 3 or 5 or both below 500 is 41583 + 24750 - 8415 = 57918I have emphasised the word below with regard to 500 since 500 is a multiple of 5, but 500 is not below (less than) itself, that is the multiples are of the numbers 1, 2, 3, ..., 499. If the question was intended to mean less than or equal to 500, add an extra 500 to the multiples of 5 above, making the sum of the multiples of 5 be 25250 and the final sums (1) 8415, (2) 66833, (3) 58418.


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