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 Haniya, good to see you again. To find the LCM of 150 and 300 using the common division method, we divide the numbers by common prime factors until no two numbers have a common prime factor. Step 1: Divide 150 and 300 by a common prime factor, starting with 2. c|cc 2 & 150 & 300 \\ & 75 & 150 Step 2: Divide 75 and 150 by a common prime factor, which is 3. c|cc 2 & 150 & 300 \\ 3 & 75 & 150 \\ & 25 & 50 Step 3: Divide 25 and 50 by a common prime factor, which is 5. c|cc 2 & 150 & 300 \\ 3 & 75 & 150 \\ 5 & 25 & 50 \\ & 5 & 10 Step 4: Divide 5 and 10 by a common prime factor, which is 5. c|cc 2 & 150 & 300 \\ 3 & 75 & 150 \\ 5 & 25 & 50 \\ 5 & 5 & 10 \\ & 1 & 2 Step 5: The remaining numbers, 1 and 2, have no common prime factors other than 1. To find the LCM, multiply all the divisors and the remaining numbers. LCM = 2 × 3 × 5 × 5 × 1 × 2 LCM = 6 × 25 × 2 LCM = 150 × 2 LCM = 300 The LCM of 150 and 300 is 300. Send me the next one 📸