Class 5 Exam > Class 5 Questions > Find the HCF and LCM of the Following Sets of...
Start Learning for Free
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
Attention Class 5 Students!
To make sure you are not studying endlessly, EduRev has designed Class 5 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 5.
|
Explore Courses for Class 5 exam
|
|
Similar Class 5 Doubts
Top Courses for Class 5View all
Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60?
Question Description
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?.
Solutions 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 English & in Hindi are available as part of our courses for Class 5.
Download more important topics, notes, lectures and mock test series for Class 5 Exam by signing up for free.
Here you can find the meaning of Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60? defined & explained in the simplest way possible. Besides giving the explanation of
Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60?, a detailed solution for Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60? has been provided alongside types of Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60? theory, EduRev gives you an
ample number of questions to practice Find the HCF and LCM of the Following Sets of Numbers: • 18, 24, and 30 • 20, 25, and 30 • 36, 48, and 60? tests, examples and also practice Class 5 tests.
|
|
Explore Courses for Class 5 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup