Final answer:
The LCM of 868, 372, and 992 is 14,784.
Step-by-step explanation:
To find the lowest common multiple (LCM) of 868, 372, and 992, we need to determine the smallest multiple that is divisible by all three numbers.
First, let's find the prime factorizations of these numbers:
868 = 2^3 * 7 * 31
372 = 2^2 * 3 * 31
992 = 2^5 * 31
The LCM is the product of the highest powers of all prime factors. In this case, the LCM of 868, 372, and 992 is 2^5 * 3 * 7 * 31, which equals 14,784.