Final answer:
To find the highest four-digit number that is divisible by each of the given numbers, we need to find the least common multiple (LCM) of the numbers. The LCM of 16, 36, 45, and 48 is 1440.
Step-by-step explanation:
To find the highest four-digit number that is divisible by each of the given numbers, we need to find the least common multiple (LCM) of the numbers. The LCM is the smallest multiple that is divisible by all given numbers. In this case, the LCM of 16, 36, 45, and 48 is 1440.
To verify that 1440 is divisible by each of the given numbers, we can divide 1440 by each number and check for whole number quotients. For example, 1440 divided by 16 equals 90, which is a whole number.
Therefore, the highest four-digit number divisible by each of the given numbers is 1440.
Learn more about Finding the LCM