Question 501605: A farmer has a certain number of tomatoes.
If he divides the number by 2, 3, 4, 5, or 6, there is always one left over.
If he divides by 7, there is no remainder.
What is the smallest number of tomatoes that the farmer can have?
Answer by geetha_rama(94)   (Show Source):
You can put this solution on YOUR website! The LCM of 2,3,4,5,6 is 60.
Assume there are 61 tomatoes (60 +1) .61 is not divisible by 7.
Assume theer are 121 tomatoes (120 + 1). 121 is not divisible by 7.
the next possible would be 181 (60*3 +1), 241 (60*4 + 1) . These are not divisible by 7.
The next possible is 301 (60*5+1). 301/7 = 43 and there is no remainder.
Hence 301 is the smallest number of tomatoes that farmer can have
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