Bob had x number of sweets and wanted to share it with his 6 friends. However, he could not divide x into 7 parts equally. He also found that he could not divide x equally into 6,5,4,3 or 2 parts either. He decided to throw one sweet away and found that he had enough sweets to divide into 7,6,5,4,3 or 2 equal parts. What is the smallest possible number of x?

• x-1 is lcm of 7,6,5,4,3,2,1 i.e. 420
  x-1=420
  x=421 ans
  
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