Answer: 24. Step-by-step explanation: Least common factor: Prime factorize 8 and 6; 8 = 2 * 2 * 2 = 2³. 6 = 2 * 3. Write down the common factor with highest power.; Common factor is 2 and its highest power is 3.. The instructions to find the LCM of 6 and 8 are the next: 1. Decompose all numbers into prime factors. 2. Write all numbers as the product of its prime factors. 3. Choose the common and uncommon prime factors with the greatest exponent. Common prime factors: 2. Common prime factors with the greatest exponent: 2 3.
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Steps to find LCM. Find the prime factorization of 8. 8 = 2 × 2 × 2. Find the prime factorization of 6. 6 = 2 × 3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 2 × 3. LCM = 24. MathStep (Works offline). The LCM of 6 and 8 is 24. Hence, the least amount of time they will take to complete their rounds together is 24 minutes. Example 2: Find the LCM of 6 and 8 using the factor tree method. Solution: Let's draw a factor tree for each number. Now, write the prime factorization of each number. 6 = 23 The factors 2 and 3 both appear once.
