Class 5 Exam > Class 5 Questions > What is the least common multiple of 9 and 12...
Start Learning for Free
What is the least common multiple of 9 and 12?
- a)36
- b)45
- c)60
- d)72
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct ...
The multiples of 9 are: 9, 18, 27, 36, 45, ...
The multiples of 12 are: 12, 24, 36, 48, ...
The least common multiple of 9 and 12 is 36.
The multiples of 12 are: 12, 24, 36, 48, ...
The least common multiple of 9 and 12 is 36.
Most Upvoted Answer
What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct ...
Least Common Multiple (LCM) is the smallest positive integer that is divisible by two or more given numbers. To find the LCM of 9 and 12, we can use two different methods: prime factorization and the method of multiples.
Prime factorization method:
1. Find the prime factors of each number:
- Prime factors of 9: 3 * 3
- Prime factors of 12: 2 * 2 * 3
2. Identify the highest power of each prime factor:
- Highest power of 2: 2 * 2
- Highest power of 3: 3 * 3
3. Multiply the highest powers of each prime factor:
- 2 * 2 * 3 * 3 = 36
Therefore, the LCM of 9 and 12 is 36.
Method of multiples:
1. List the multiples of each number until you find a common multiple:
- Multiples of 9: 9, 18, 27, 36,...
- Multiples of 12: 12, 24, 36,...
2. The first common multiple in both lists is 36.
Therefore, the LCM of 9 and 12 is 36.
Conclusion:
The LCM of 9 and 12 is 36, which means that 36 is the smallest positive integer that is divisible by both 9 and 12. Hence, option 'A' (36) is the correct answer.
Prime factorization method:
1. Find the prime factors of each number:
- Prime factors of 9: 3 * 3
- Prime factors of 12: 2 * 2 * 3
2. Identify the highest power of each prime factor:
- Highest power of 2: 2 * 2
- Highest power of 3: 3 * 3
3. Multiply the highest powers of each prime factor:
- 2 * 2 * 3 * 3 = 36
Therefore, the LCM of 9 and 12 is 36.
Method of multiples:
1. List the multiples of each number until you find a common multiple:
- Multiples of 9: 9, 18, 27, 36,...
- Multiples of 12: 12, 24, 36,...
2. The first common multiple in both lists is 36.
Therefore, the LCM of 9 and 12 is 36.
Conclusion:
The LCM of 9 and 12 is 36, which means that 36 is the smallest positive integer that is divisible by both 9 and 12. Hence, option 'A' (36) is the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct ...
A
|
Explore Courses for Class 5 exam
|
|
Top Courses for Class 5View all
Question Description
What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer?.
What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer?.
Solutions for What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer? 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 What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer?, a detailed solution for What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the least common multiple of 9 and 12?a)36b)45c)60d)72Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 5 tests.
|
|
Explore Courses for Class 5 exam
|
|
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!
within 7 days!
Takes less than 10 seconds to signup