Final answer:
To find the LCM of 6, 7, and 8, list the prime factors of each number, take the highest power of each prime factor, and multiply them together to get the LCM.
Step-by-step explanation:
To find the LCM (Least Common Multiple) of 6, 7, and 8, we need to find the smallest number that is divisible by all three numbers. Step 1: List the prime factors of each number. Prime factors of 6 are 2 x 3, prime factor of 7 is 7, and prime factors of 8 are 2 x 2 x 2. Step 2: Take the highest power of each prime factor. The highest power of 2 is 2 x 2 x 2 = 8, the highest power of 3 is 3, and the highest power of 7 is 7. Step 3: Multiply the highest powers together to get the LCM: 8 x 3 x 7 = 168. Therefore, the LCM of 6, 7, and 8 is 168.