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How many numbers less than 1000 are multiples of both 10 and 17?

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LCM of 10, 17 = 170

We have to find the number of multiples of 170 < 1000

Number of multiples = integer value of (1000/17) = integer part of 5.88 = 5

∴ there are 5 multiples of both 10 and 17 less than 1000 are 5