document.write( "Question 1013969: Find the least number of 5 digits divisible by 60,18,24and 30 \n" ); document.write( "
Algebra.Com's Answer #630277 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Find least common multiple:
\n" ); document.write( ".
\n" ); document.write( "60 = 2 x 2 x 3 x 5
\n" ); document.write( "30 = 2 x 3 x 5
\n" ); document.write( "18 = 2 x 3 x 3
\n" ); document.write( "24 = 2 x 2 x 2 x 3
\n" ); document.write( ".
\n" ); document.write( "Take the largest number of prime factors from a single number:
\n" ); document.write( "There are three twos in 24, two threes in 18, and one five.
\n" ); document.write( "Least common multiple=2 x 2 x 2 x 3 x 3 x 5 = 360
\n" ); document.write( "The number will be divisible by 360.
\n" ); document.write( ".
\n" ); document.write( "10000/360=27.8
\n" ); document.write( "28 x 360 = 10080
\n" ); document.write( ".
\n" ); document.write( "ANSWER: The smallest 5 digit number divisible by all four
\n" ); document.write( "numbers is 10080.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );