The least common multiple that is divisible by both a and b is the smallest positive integer. The number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8 is 10,080.
<h3>What is LCM?</h3>
The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Firstly to get the number we need to find the LCM of the given numbers 3, 4, 5, 6, 7, and 8, therefore, the LCM will be 1680.
Now, we try to divide 10000 by 1680, the quotient of the division will be 5 and the remainder will be 1600.
Therefore, if LCM is multiplied by 5 then the result will be 8400, while if 1680 is multiplied by 6, the result will be 10,080 which is more close to 10,000.
Hence, the number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8 is 10,080.
Learn more about Least Common Multiple here:
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