SOLUTION: determine the two numbers nearest to 10000 which are exactly divisible by 2,3,4,5,6 and 7

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Question 894550: determine the two numbers nearest to 10000 which are exactly divisible by 2,3,4,5,6 and 7
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!


Factor 4 includes 2 already.
Factor 6 includes 2 and 3 already.



Eliminate one of 3.
, seems a little too less.
Put back the 3.


Eliminate one of 2.
-----This should be one of the numbers.

Can you find a way to reach a number greater than 10000 but not more than 19320?
19320 is farther from 10000 than 6440 is from 10000; based on this, the other number you want should be 6440.

The two numbers nearest to 10000 exactly divisible by 2,3,4,5,6,7 are 6440 and 9960.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

determine the two numbers nearest to 10000 which are exactly divisible by 2,3,4,5,6 and 7


LCM of the numbers is 420

420(23) =  9,660

420(24) = 10,080



Two closest:  and  

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