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Question #79947. Asked by **MikeRB**.

Last updated **Aug 21 2016**.

Answer has

Answer has

The smallest I have found is 2520...try it and see, it works.

May 05 2007, 3:08 PM

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18 year member

98 replies

Answer has

2520 is the lowest.

Start with 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

This is divisible by all single digit numbers

The 1 is irrelevant.

If the number is divisible by 9 then it is divisible by 3

If the number is divisible by 8 then it is divisible by 2 & 4

If it is divisible by 8 & 9 then it is divisible by 6

This reduces the calculation to

9 x 8 x 7 x 5

= 2520

Start with 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

This is divisible by all single digit numbers

The 1 is irrelevant.

If the number is divisible by 9 then it is divisible by 3

If the number is divisible by 8 then it is divisible by 2 & 4

If it is divisible by 8 & 9 then it is divisible by 6

This reduces the calculation to

9 x 8 x 7 x 5

= 2520

May 05 2007, 3:24 PM

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16 year member

124 replies

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Yeah, the smallest number I have found is 2520.

Response last updated by

May 05 2007, 3:26 PM

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23 year member

3694 replies

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2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.

Response last updated by

May 05 2007, 10:00 PM

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17 year member

217 replies

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It would seem that, but for the number 7, 360 would have been the lowest number possible. Putting the 7 into the equation raises it to 2520.

Response last updated by

May 06 2007, 7:47 PM