Question 1091141
<br>The number must be divisible by the least common multiple of all those numbers.<br>
There are many different ways to find the LCM of those four numbers.  I will assume you know how to find it.  The LCM of 8, 15, 20, and 25 is 600.<br>
To find the smallest 5-digit number divisible by 600, divide 10000 by 600.  You will get a decimal result; round up to the next integer.  Multiplying that integer times 600 will give you the answer.