what is the least positive number that is divisible by the first 10 positive integers(1,2,3,4,5,6,7,8,9,10)?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
first of all, note down the prime factors which are 2,3,5,7
2 * 3 * 5 * 7 ..................................as prime factors are absolutely indispensable
for 8 to be able to divide the number, 4 must be multiplied to it
thus we get
2 * 3 * 5 * 7 * 4 ..................................hence 4 will also divide the number now
6 and 10 already divides the number.............( see divisibility rule for 6)
for 9, one more 3 must be multiplied
thus the answer is 2 * 3 * 5 * 7 * 4 * 3 = 2520