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Find the HCF and LCM of the Following Sets of Numbers:
• 18, 24, and 30
• 20, 25, and 30
• 36, 48, and 60?
• 18, 24, and 30
• 20, 25, and 30
• 36, 48, and 60?
Most Upvoted Answer
Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 3...
Finding HCF and LCM
To find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of sets of numbers, we can use prime factorization.
1. HCF and LCM of 18, 24, and 30
- Prime Factorization:
- 18 = 2 × 3²
- 24 = 2³ × 3
- 30 = 2 × 3 × 5
- HCF Calculation:
- Common factors: 2¹ and 3¹
- HCF = 2¹ × 3¹ = 6
- LCM Calculation:
- Combine highest powers: 2³, 3², and 5¹
- LCM = 2³ × 3² × 5¹ = 180
2. HCF and LCM of 20, 25, and 30
- Prime Factorization:
- 20 = 2² × 5
- 25 = 5²
- 30 = 2 × 3 × 5
- HCF Calculation:
- Common factor: 5¹
- HCF = 5
- LCM Calculation:
- Combine highest powers: 2², 3¹, and 5²
- LCM = 2² × 3¹ × 5² = 100
3. HCF and LCM of 36, 48, and 60
- Prime Factorization:
- 36 = 2² × 3²
- 48 = 2⁴ × 3
- 60 = 2² × 3 × 5
- HCF Calculation:
- Common factors: 2² and 3¹
- HCF = 2² × 3¹ = 12
- LCM Calculation:
- Combine highest powers: 2⁴, 3², and 5¹
- LCM = 2⁴ × 3² × 5¹ = 720
Summary
- Set 1:
- HCF = 6, LCM = 180
- Set 2:
- HCF = 5, LCM = 100
- Set 3:
- HCF = 12, LCM = 720
To find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of sets of numbers, we can use prime factorization.
1. HCF and LCM of 18, 24, and 30
- Prime Factorization:
- 18 = 2 × 3²
- 24 = 2³ × 3
- 30 = 2 × 3 × 5
- HCF Calculation:
- Common factors: 2¹ and 3¹
- HCF = 2¹ × 3¹ = 6
- LCM Calculation:
- Combine highest powers: 2³, 3², and 5¹
- LCM = 2³ × 3² × 5¹ = 180
2. HCF and LCM of 20, 25, and 30
- Prime Factorization:
- 20 = 2² × 5
- 25 = 5²
- 30 = 2 × 3 × 5
- HCF Calculation:
- Common factor: 5¹
- HCF = 5
- LCM Calculation:
- Combine highest powers: 2², 3¹, and 5²
- LCM = 2² × 3¹ × 5² = 100
3. HCF and LCM of 36, 48, and 60
- Prime Factorization:
- 36 = 2² × 3²
- 48 = 2⁴ × 3
- 60 = 2² × 3 × 5
- HCF Calculation:
- Common factors: 2² and 3¹
- HCF = 2² × 3¹ = 12
- LCM Calculation:
- Combine highest powers: 2⁴, 3², and 5¹
- LCM = 2⁴ × 3² × 5¹ = 720
Summary
- Set 1:
- HCF = 6, LCM = 180
- Set 2:
- HCF = 5, LCM = 100
- Set 3:
- HCF = 12, LCM = 720
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Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60?
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Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60?.
Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60?.
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