डिटरमाइंड द टू नंबर नियरेस्ट 2314 एक्जेक्टली डिविजिबल बाय 3 2584 एंड सिक्स
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Explanation:
The numbers which are exactly divisible by 2, 3, 4, 5, 6 and 7 are the multiples of the LCM of the given numbers.
∴ LCM = 2 x 2 x 3 x 5 x 7 = 420
Now, dividing 10000 by 420, we get remainder = 340
∴ Number just less than 10000 and exactly divisible by the given numbers = 10000 - 340 = 9660
Number just greater than 10000 and exactly divisible by the given numbers = 10000 + (420 - 340) = 10080
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