Find the LCM of 5,8 and 9

Mathematics

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Answer

5

Step 1: Find the prime factorization of each number. 5 = 5 8 = 2 × 2 × 2 = 2³ 9 = 3 × 3 = 3²

Step 2: To find the LCM, take the highest power of each prime factor that appears in any of the factorizations. The prime factors are 2, 3, and 5. Highest power of 2 is 2³ Highest power of 3 is 3² Highest power of 5 is 5¹

Step 3: Multiply these highest powers together. LCM = 2³ × 3² × 5¹ LCM = 8 × 9 × 5 LCM = 72 × 5 LCM = 360

The LCM of 5, 8, and 9 is 360.

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Find the prime factorization of each number. 5 = 5 8 = 2 × 2 × 2 = 2³ 9 = 3 × 3 = 3² Step 2: To find the LCM, take the highest power of each prime factor that appears in any of the factorizations.

Find the LCM of 5,8 and 9
Mathematics

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
Step 1: Find the prime factorization of each number. 5 = 5 8 = 2 × 2 × 2 = 2³ 9 = 3 × 3 = 3² Step 2: To find the LCM, take the highest power of each prime factor that appears in any of the factorizations. The prime factors are 2, 3, and 5. Highest power of 2 is 2³ Highest power of 3 is 3² Highest power of 5 is 5¹ Step 3: Multiply these highest powers together. LCM = 2³ × 3² × 5¹ LCM = 8 × 9 × 5 LCM = 72 × 5 LCM = 360 The LCM of 5, 8, and 9 is 360. Send me the next one 📸