The nearest number is 10080 if the number is nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8.
<h3>What is LCM?</h3>
It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.
It is given that:
The number nearest to 10000 is exactly divisible by 3, 4, 5, 6, 7, and 8.
TO find the number:
Find the LCM of 3, 4, 5, 6, 7, and 8:
LCM = 760
= 10000/760
There are two possibilities:
= 10000 - 760 = 9240
or 10000 + (840 - 760) = 10080
The nearest number = 10080
Thus, the nearest number is 10080 if the number is nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8.
Learn more about the LCM here:
brainly.com/question/20739723
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