document.write( "Question 1128511: Grandma bakes a cake for her grandchildren who are going to visit her in the afternoon. She has forgotten whether 3,5 or 6 of her grandchildren will visit. She wants all of the cake to be eaten and each grandchild to get the same amont of cake. To prepare for all 3 possibilities, what is the smallest number of pieces into which she should cut the cake \n" ); document.write( "
Algebra.Com's Answer #745046 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "They want you find the lowest positive integer number, which is divided by 3, 5 and 6 without remainder.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Obviously, this integer must be a multiple of the product 3 and 5, i.e. 15, and as soon as you understand it, \r\n" ); document.write( "\r\n" ); document.write( "you will find the answer in 3 seconds: the number under the question is 30.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "This number is called the \"Least Common Multiple\" of numbers 3, 5 and 6, or LCM (3,5,6) for brevity.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In this case it is simply the product of all prime numbers, that factor the numbers 3, 5 and 6.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |