document.write( "Question 501605: A farmer has a certain number of tomatoes.
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document.write( "If he divides the number by 2, 3, 4, 5, or 6, there is always one left over.
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document.write( "If he divides by 7, there is no remainder.\r
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document.write( "What is the smallest number of tomatoes that the farmer can have? \n" );
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Algebra.Com's Answer #338580 by geetha_rama(94)![]() ![]() ![]() You can put this solution on YOUR website! The LCM of 2,3,4,5,6 is 60.\r \n" ); document.write( "\n" ); document.write( "Assume there are 61 tomatoes (60 +1) .61 is not divisible by 7. \n" ); document.write( "Assume theer are 121 tomatoes (120 + 1). 121 is not divisible by 7. \n" ); document.write( "the next possible would be 181 (60*3 +1), 241 (60*4 + 1) . These are not divisible by 7. \n" ); document.write( "The next possible is 301 (60*5+1). 301/7 = 43 and there is no remainder. \n" ); document.write( "Hence 301 is the smallest number of tomatoes that farmer can have\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |