Shortcut Of LCM And HCF Quiz

Reviewed by Editorial Team

The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.

Learn about Our Editorial Process

| By Gregorynaomi

Gregorynaomi

Community Contributor

Quizzes Created: 1462 | Total Attempts: 864,211

| Attempts: 762

Quiz Flashcard

Questions

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

1/10 Questions

What is the least common multiple of 3 and 4?
- 24
- 12
- 48
- 36

About This Quiz

LCM and HCF are concepts useful in mathematics as well as in determining the time and distance, pipes and cisterns and so on. There are many shortcuts and tricks in analyzing the concepts problems which requires some principles and methods for easy calculations. Co-prime numbers, Prime numbers and terms like multiples, factors and so on are required for easy use See moreof the shortcuts.

2.

What is the integral values of number that can provide the number?
- Prime numbers
- LCM
- HCF
- Prime Factors
Correct Answer

A. HCF

Explanation

The correct answer is HCF. HCF stands for Highest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder. The integral values of a number that can provide the number would be the factors of that number, and the HCF represents the common factors among those numbers. Therefore, the HCF is the correct answer for this question.

Rate this question:
3.

Which of these always divides the LCM of a number?
- 10
- Prime Factors
- HCF
- LCF
Correct Answer

A. HCF

Explanation

The highest common factor (HCF) always divides the least common multiple (LCM) of a number. This is because the LCM is the smallest multiple that is divisible by all the given numbers, and the HCF is the largest number that divides all the given numbers. Therefore, the HCF must also divide the LCM.

Rate this question:

1
4.

Which of these is the multiple of 3 and 5?
- 15
- 10
- 12
- 14
Correct Answer

A. 15

Explanation

15 is the correct answer because it is divisible by both 3 and 5. When 15 is divided by 3, the remainder is 0 because 15 is a multiple of 3. Similarly, when 15 is divided by 5, the remainder is also 0 because 15 is a multiple of 5. Therefore, 15 satisfies the condition of being a multiple of both 3 and 5.

Rate this question:

1
5.

What is the other name for HCF?
- LCF
- GCF
- HCM
- PCM
Correct Answer

A. GCF

Explanation

The other name for HCF is GCF, which stands for Greatest Common Factor. HCF and GCF are interchangeable terms used to refer to the largest number that divides two or more given numbers without leaving a remainder.

Rate this question:

1
6.

What is the name given to number having many factors?
- Even number
- Odd number
- Composite number
- Prime number
Correct Answer

A. Composite number

Explanation

A composite number is a number that has more than two factors. It is not a prime number, which only has two factors (1 and itself). Composite numbers can be divided evenly by at least one other number besides 1 and itself. Therefore, the name given to a number having many factors is a composite number.

Rate this question:
7.

What is the product of common prime factors in respect to highest indices?
- 1
- GCF
- HCF
- LCM
Correct Answer

A. HCF

Explanation

The product of common prime factors in respect to highest indices refers to finding the highest power of each prime number that appears in all the given numbers. The highest common factor (HCF) is the product of these prime factors. Therefore, the correct answer is HCF.

Rate this question:
8.

What is the common multiple of 2,3,6 and 9?
- 9
- 16
- 18
- 20
Correct Answer

A. 18

Explanation

The common multiple of 2, 3, 6, and 9 is 18 because it is the smallest number that is divisible by all of these numbers without leaving a remainder.

Rate this question:
9.

Which of these is not a prime number?
- 3
- 5
- 17
- 4
Correct Answer

A. 4

Explanation

A prime number is a number that is only divisible by 1 and itself. 3, 5, and 17 are all prime numbers because they can only be divided by 1 and themselves. However, 4 is not a prime number because it can be divided by 1, 2, and 4. Therefore, 4 is the correct answer as it is not a prime number.

Rate this question:
10.

Which of these numbers are said to be co-primes?
- 1 and 2
- 1 and 4
- 2 and 3
- 6 and 7
Correct Answer

A. 6 and 7

Explanation

Co-primes are numbers that have only 1 as their common factor. In this case, 6 and 7 are said to be co-primes because they do not have any common factors other than 1.

Rate this question: