document.write( "Question 207417: What is the smallest whole number that is divisible by 2,3,5,6,9, and 10? Explain how you found this number \n" ); document.write( "
Algebra.Com's Answer #156845 by vleith(2983)![]() ![]() ![]() You can put this solution on YOUR website! Find the prime factors for each of the given numbers. \n" ); document.write( "2,3,5 are easy \n" ); document.write( "6 = 2*3 \n" ); document.write( "9=3*3 \n" ); document.write( "10=2*5 \n" ); document.write( "So you can see that the least common multiple will be the one that contains the factors as follows \n" ); document.write( "one 2 \n" ); document.write( "two 3 (since 9 is 3*3) \n" ); document.write( "one 5 \n" ); document.write( "Why 2 threes? and not 2 of anything else? Look at the factors for each and pick number of prime factors used 'the most' in any one of the original numbers. \n" ); document.write( "10 can be made using one 2 and one 5. 6 is onw 2 and one 3. Only 9 requires using any of the common factors more than once.\r \n" ); document.write( "\n" ); document.write( "So the number is |