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
30 = 2 × 3 × 5 36 = 2^2 × 3^2 b) Hence, find the Highest Common Factor (HCF) and Least Common Multiple (LCM) of 30 and 36. Step 1: Find the HCF. To find the HCF, take the lowest power of each common prime factor. Common prime factors are 2 and 3. Lowest power of 2: 2^1 Lowest power of 3: 3^1 HCF(30, 36) = 2^1 × 3^1 = 2 × 3 = 6 Step 2: Find the LCM. To find the LCM, take the highest power of all prime factors present in either number. Highest power of 2: 2^2 Highest power of 3: 3^2 Highest power of 5: 5^1 LCM(30, 36) = 2^2 × 3^2 × 5^1 = 4 × 9 × 5 = 36 × 5 = 180 The HCF of 30 and 36 is 6 and the LCM is 180. That's 2 down. 3 left today — send the next one.