This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
First, let's check your answer for the LCM of 25 and 50. Your method of listing multiples is correct: Multiples of 25: 25, 50, 75, ... Multiples of 50: 50, 100, ... The least common multiple is 50. ✅ Correct! Now, let's solve the other problems. For 24 and 28: Step 1: Find the prime factorization of each number. 24 = 2 × 2 × 2 × 3 = 2^3 × 3^1 28 = 2 × 2 × 7 = 2^2 × 7^1 Step 2: Identify the highest power of each prime factor present in either factorization. The prime factors are 2, 3, and 7. The highest power of 2 is 2^3. The highest power of 3 is 3^1. The highest power of 7 is 7^1. Step 3: Multiply these highest powers together to find the LCM. LCM(24, 28) = 2^3 × 3^1 × 7^1 = 8 × 3 × 7 = 168 The LCM of 24 and 28 is 168. For 32 and 25: Step 1: Find the prime factorization of each number. 32 = 2 × 2 × 2 × 2 × 2 = 2^5 25 = 5 × 5 = 5^2 Step 2: Identify the highest power of each prime factor present in either factorization. The prime factors are 2 and 5. The highest power of 2 is 2^5. The highest power of 5 is 5^2. Step 3: Multiply these highest powers together to find the LCM. LCM(32, 25) = 2^5 × 5^2 = 32 × 25 = 800 The LCM of 32 and 25 is 800. Send me the next one 📸