<PRE><B>Question 58446</B>
I&#39;m having trouble with a word problem, not from a book and don&#39;t understand how to find an equation for this one:
Use the digits 0,1,2,3,4,5,6,7,8,9 and form a 10 digit number. It must be divisible by every number starting at 1 through 18, including 18. Each digit must be used only one time.
FIRST FIND LCM TO GET THE LEAST MULTIPLE BY NUMBERS 1 TO 18
2|1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18
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 2|   1,3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9
--------------------------------------------------- 
  2|  1,3,1,5,3,7,2,9,5,11,3,13,7,15,4,17,9
---------------------------------------------------
  3|  1,3,1,5,3,7,1,9,5,11,3,13,7,15,2,17,9
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   3| 1,1,1,5,1,7,1,3,5,11,1,13,7,5,2,17,3
---------------------------------------------------
   5| 1,1,1,5,1,7,1,1,5,11,1,13,7,5,2,17,1
-------------------------------------------------------
    | 1,1,1,1,1,7,1,1,1,11,1,13,7,1,2,17,1
SO LCM = =2*2*2*3*3*5*7*11*13*17 = 6126120
OBVIOUSLY THIS DOES NOT SATISFY OUR REQUIREMENT.
SO TRY MULTIPLYING THS NUMBER WITH 2,3,4..ETC..TILL YOU GET THE ANSWER
THIS IS THE METHOD I CAN SUGGEST TO YOU.





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