Find the LCM of 2,3,5 starting from 1 to 20

Mathematics

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Answer

2 × 3 × 5

Step 1: List the multiples of each number up to 20. Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Multiples of 3: 3, 6, 9, 12, 15, 18 Multiples of 5: 5, 10, 15, 20

Step 2: Identify common multiples. Common multiples of 2 and 3: 6, 12, 18 Common multiples of 2 and 5: 10, 20 Common multiples of 3 and 5: 15

Step 3: Find the smallest number that appears in all three lists of multiples. Looking at the multiples of 2, 3, and 5, there are no common multiples within the range of 1 to 20.

Step 4: Calculate the LCM using prime factorization (since there are no common multiples in the given range). Prime factorization of 2: 2 Prime factorization of 3: 3 Prime factorization of 5: 5 The LCM is the product of the highest powers of all prime factors that appear in any of the numbers. LCM = 2 × 3 × 5

Step 5: Calculate the final LCM. LCM = 30

The LCM of 2, 3, and 5 is 30.

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List the multiples of each number up to 20. Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Multiples of 3: 3, 6, 9, 12, 15, 18 Multiples of 5: 5, 10, 15, 20 Step 2: Identify common multiples.

Find the LCM of 2,3,5 starting from 1 to 20
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: List the multiples of each number up to 20. Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Multiples of 3: 3, 6, 9, 12, 15, 18 Multiples of 5: 5, 10, 15, 20 Step 2: Identify common multiples. Common multiples of 2 and 3: 6, 12, 18 Common multiples of 2 and 5: 10, 20 Common multiples of 3 and 5: 15 Step 3: Find the smallest number that appears in all three lists of multiples. Looking at the multiples of 2, 3, and 5, there are no common multiples within the range of 1 to 20. Step 4: Calculate the LCM using prime factorization (since there are no common multiples in the given range). Prime factorization of 2: 2 Prime factorization of 3: 3 Prime factorization of 5: 5 The LCM is the product of the highest powers of all prime factors that appear in any of the numbers. LCM = 2 × 3 × 5 Step 5: Calculate the final LCM. LCM = 30 The LCM of 2, 3, and 5 is 30. Send me the next one 📸