Find the least number which when divided by 7 gives the reminder 6, when divided by 6 gives reminder 5, when divided by 5 gives reminder 4 and so on ?

• LCM(7,6,5,4,3,2)=420
  now subtracting 420-1=419
  Since the diff between the remainder and dividend is common(1 in this case ) we subtract 1 from the LCM
  
• 11 years agoHelpfull: Yes(29) No(4)
• 419
  
  LCM(7,6,5,4,3,2) = 420
  420 -1 = 419
• 11 years agoHelpfull: Yes(11) No(4)
• Take L.C.M of 7,6,5,4,3,2,1 = 420
  420-1 = 419
  419 is divided by 7 gives the reminder 6.
  419 is divided by 6 gives the reminder 5.
  419 is divided by 5 gives the reminder 4.
  419 is divided by 4 gives the reminder 3.
  419 is divided by 3 gives the reminder 2.
  419 is divided by 2 gives the reminder 1.
  
• 11 years agoHelpfull: Yes(10) No(4)
• 210
  
  LCM(7,6,5)=210
  210-1=209
• 11 years agoHelpfull: Yes(6) No(22)