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Find the number of numbers lying between...

Find the number of numbers lying between 1 and 1000 which are divisible by each of 6,7 and 15.

Text Solution

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The least possible number which is divisible by 6, 7, and 15 = LCM of 6, 7 , 15 = 210
So, the first such number is 210 and the other numbers are the multiples of 210 i.e. , 210, 420, 630, 840.
Thus there are total 4 numbers lying between 1 and 1000 which are divisible by 6, 7 and 15 .
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