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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
in easy?
• 18, 24, and 30
• 20, 25, and 30
• 36, 48, and 60
in easy?
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 a set of numbers, we can use the prime factorization method. Here's how to do it for the given sets of numbers.
1. HCF and LCM of 18, 24, and 30
- Prime Factorization:
- 18 = 2 × 3²
- 24 = 2³ × 3
- 30 = 2 × 3 × 5
- HCF:
- Common factors: 2¹ and 3¹
- HCF = 2¹ × 3¹ = 6
- LCM:
- All factors: 2³, 3², 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:
- Common factors: 5¹
- HCF = 5
- LCM:
- All factors: 2², 3¹, 5²
- LCM = 2² × 3¹ × 5² = 300
3. HCF and LCM of 36, 48, and 60
- Prime Factorization:
- 36 = 2² × 3²
- 48 = 2⁴ × 3
- 60 = 2² × 3 × 5
- HCF:
- Common factors: 2² and 3¹
- HCF = 2² × 3¹ = 12
- LCM:
- All factors: 2⁴, 3², 5¹
- LCM = 2⁴ × 3² × 5¹ = 720
Summary
- HCF of 18, 24, 30 = 6
- LCM of 18, 24, 30 = 180
- HCF of 20, 25, 30 = 5
- LCM of 20, 25, 30 = 300
- HCF of 36, 48, 60 = 12
- LCM of 36, 48, 60 = 720
To find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of a set of numbers, we can use the prime factorization method. Here's how to do it for the given sets of numbers.
1. HCF and LCM of 18, 24, and 30
- Prime Factorization:
- 18 = 2 × 3²
- 24 = 2³ × 3
- 30 = 2 × 3 × 5
- HCF:
- Common factors: 2¹ and 3¹
- HCF = 2¹ × 3¹ = 6
- LCM:
- All factors: 2³, 3², 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:
- Common factors: 5¹
- HCF = 5
- LCM:
- All factors: 2², 3¹, 5²
- LCM = 2² × 3¹ × 5² = 300
3. HCF and LCM of 36, 48, and 60
- Prime Factorization:
- 36 = 2² × 3²
- 48 = 2⁴ × 3
- 60 = 2² × 3 × 5
- HCF:
- Common factors: 2² and 3¹
- HCF = 2² × 3¹ = 12
- LCM:
- All factors: 2⁴, 3², 5¹
- LCM = 2⁴ × 3² × 5¹ = 720
Summary
- HCF of 18, 24, 30 = 6
- LCM of 18, 24, 30 = 180
- HCF of 20, 25, 30 = 5
- LCM of 20, 25, 30 = 300
- HCF of 36, 48, 60 = 12
- LCM of 36, 48, 60 = 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 in easy?
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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 in easy? 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 in easy? 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 in easy?.
Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60 in easy? 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 in easy? 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 in easy?.
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