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How many common multiples of 6 and 9 are there below 1000?

Updated: 8/19/2019
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Q: How many common multiples of 6 and 9 are there below 1000?
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How many common multiples of 4 6 are below 1000?

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How many multiples of 4 and 6 are there below one thousand?

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4 = 2*2 6 = 2*3 Taking the highest power of each prime factor, we can see that common multiples of 4 & 6 are multiples of 2*2*3 = 12 83*12 = 996 so there are 83, starting with 12 (12*1) and going to 996


How many common multiples of 4 and 6 are there below 1000?

4 = 2*2 6 = 2*3 Taking the highest power of each prime factor, we can see that common multiples of 4 & 6 are multiples of 2*2*3 = 12 83*12 = 996 so there are 83, starting with 12 (12*1) and going to 996


How many positive integers less than 1000 are multiples of 5 and equal to 9 times an even integer?

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