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
Hey Alice, good to see you again. Step 1: Find the prime factorization of 15. 15 = 3 × 5 Step 2: Find the prime factorization of 24. 24 = 2 × 12 = 2 × 2 × 6 = 2 × 2 × 2 × 3 = 2^3 × 3 Step 3: Determine the Least Common Multiple (LCM) of 15 and 24. To find the LCM, we take the highest power of each prime factor present in either factorization. The prime factors are 2, 3, and 5. The highest power of 2 is 2^3. The highest power of 3 is 3^1. The highest power of 5 is 5^1. LCM(15, 24) = 2^3 × 3 × 5 = 8 × 3 × 5 = 24 × 5 = 120 The minimum length of each of the big pieces of wood is 120 cm. The minimum length of each of the big pieces of wood is 120 cm. Send me the next one 📸