Find highest 6 digit number which when divided by 6,7,8,9,10 gives remainder 4,5,6,7,8.

• find LCM(6,7,8,9,10) = 2520
  
  also, 10-8 = 9-7 = 8-6 = 7-5 = 6-4 = 2
  highest 6 digit no. 99999,
  dividing it by 2520 we get remainder = 2079
  
  reqd no. = 999999 - 2079 - 2 = 997918
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