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
Here are the LCMs for the visible parts of the question: a) Find the LCM of 8 and 6. Step 1: Find the prime factorization of each number. 8 = 2 × 2 × 2 = 2^3 6 = 2 × 3 Step 2: Identify all prime factors and take the highest power of each. LCM(8, 6) = 2^3 × 3^1 = 8 × 3 = 24 The LCM of 8 and 6 is 24. d) Find the LCM of 48 and 32. Step 1: Find the prime factorization of each number. 48 = 2 × 2 × 2 × 2 × 3 = 2^4 × 3 32 = 2 × 2 × 2 × 2 × 2 = 2^5 Step 2: Identify all prime factors and take the highest power of each. LCM(48, 32) = 2^5 × 3^1 = 32 × 3 = 96 The LCM of 48 and 32 is 96. g) Find the LCM of 25, 30 and 45. Step 1: Find the prime factorization of each number. 25 = 5 × 5 = 5^2 30 = 2 × 3 × 5 45 = 3 × 3 × 5 = 3^2 × 5 Step 2: Identify all prime factors and take the highest power of each. LCM(25, 30, 45) = 2^1 × 3^2 × 5^2 = 2 × 9 × 25 = 18 × 25 = 450 The LCM of 25, 30 and 45 is 450. Parts (b), (e), and (h) are incomplete in the image. That's 2 down. 3 left today — send the next one.