Lcm
Number Theory
Level
3
Find the largest number of 3 digits which is completely divisible by 8 and 18.
The answer is 936.
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.
1 solution
The largest 3-digit number divisible by 8 is 992 = 8 * 124.
Since 8 and 9 are coprime, the number multiplied by 8 has to be a multiple of 9. The largest available such number is 117.
8 * 117 = 936.