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
To find the Least Common Multiple (LCM) of 4, 20, and 18 using the division method: Step 1: Divide the numbers by the smallest prime number that divides at least one of them. c|ccc 2 & 4, & 20, & 18 \\ & 2, & 10, & 9 Step 2: Continue dividing the resulting numbers by the smallest prime number. c|ccc 2 & 4, & 20, & 18 \\ 2 & 2, & 10, & 9 \\ & 1, & 5, & 9 Step 3: Continue dividing. Since 9 is divisible by 3, use 3. c|ccc 2 & 4, & 20, & 18 \\ 2 & 2, & 10, & 9 \\ 3 & 1, & 5, & 9 \\ & 1, & 5, & 3 Step 4: Continue dividing by 3. c|ccc 2 & 4, & 20, & 18 \\ 2 & 2, & 10, & 9 \\ 3 & 1, & 5, & 9 \\ 3 & 1, & 5, & 3 \\ & 1, & 5, & 1 Step 5: Continue dividing by 5 until all numbers are 1. c|ccc 2 & 4, & 20, & 18 \\ 2 & 2, & 10, & 9 \\ 3 & 1, & 5, & 9 \\ 3 & 1, & 5, & 3 \\ 5 & 1, & 5, & 1 \\ & 1, & 1, & 1 Step 6: Multiply all the prime divisors to find the LCM. LCM = 2 × 2 × 3 × 3 × 5 = 4 × 9 × 5 = 36 × 5 = 180 The LCM of 4, 20, and 18 is 180. Send me the next one 📸