What is the smallest four-digit number that is divisible by 4, 6, 8, and 10?

Explanation

To find the smallest four-digit number divisible by 4, 6, 8, and 10, first determine the least common multiple (LCM) of these numbers. The LCM is 120. The smallest four-digit number is 1000. Dividing 1000 by 120 gives a quotient of 8 with a remainder of 40. Adding (120 - 40) = 80 to 1000 results in 1080, which is the smallest four-digit number divisible by all given divisors.