Math and Arithmetic
Algebra
Numbers

What number can be divided by 1 2 3 4 5 6 7 8 9 and 10 without fractional leftover?

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Wiki User
November 01, 2012 1:50AM

1 is not a valid answer. 1/2 = 0.5, .5 is the fractional leftover

the result can be the following : either 0, since u can divide 0 with anything to get 0 back

OR the calculation is the following :

to have 2,5 and 10, we need at least a multiple of 10

to have 3,6 we need at least 30

to have 9 we then need at least 90

to have 8 we then need at least 360

ergo, 360*7 = 2520

360, number of degrees in a circle, was chosen specifically for the reason that many numbers divide perfectly into this and do not leave a remainder. As shown above, it does not divide 7 perfectly, but does divide by 1,2,3,4,5,6,8,9 and 10, therefore the smallest number divisible by 1-10 perfectly is 360*7=2520.