What is the lowest number that can be evenly divided by every single digit number?
Question #79947. Asked by MikeRB.
Last updated Aug 21 2016.
Silvertop
Answer has 38 votes
Silvertop
Answer has 38 votes.
The smallest I have found is 2520...try it and see, it works.
May 05 2007, 3:08 PM
paper_aero
Answer has 80 votes
Currently Best Answer
paper_aero 19 year member
98 replies
Answer has 80 votes.
Currently voted the best answer.
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
May 05 2007, 3:24 PM
thegogga
Answer has 20 votes
thegogga 18 year member
124 replies
Answer has 20 votes.
Yeah, the smallest number I have found is 2520.
Response last updated by nautilator on Aug 21 2016.
May 05 2007, 3:26 PM
McGruff
Answer has 25 votes
McGruff Moderator 25 year member
3694 replies
Answer has 25 votes.
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 nautilator on Aug 21 2016.
May 05 2007, 10:00 PM
wendypj
Answer has 17 votes
wendypj 18 year member
217 replies
Answer has 17 votes.
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 nautilator on Aug 21 2016.
May 06 2007, 7:47 PM