Understanding HCF (Highest Common Factor) and LCM (Lowest Common Multiple) is crucial for students preparing for school exams and competitive tests. These concepts not only form the foundation of number theory but also frequently appear in various objective questions. Practicing MCQs and other practice questions on HCF and LCM can significantly enhance your exam preparation and help you score better in important questions.
What You Will Practise Here
Definition and significance of HCF and LCM
Methods to calculate HCF and LCM, including prime factorization
Applications of HCF and LCM in real-life problems
Relationship between HCF and LCM
Common problems involving HCF and LCM in word format
Diagrams and visual aids to understand the concepts better
Sample HCF and LCM MCQ questions with detailed solutions
Exam Relevance
The concepts of HCF and LCM are integral to the mathematics curriculum across various educational boards in India, including CBSE and State Boards. These topics are frequently tested in both school examinations and competitive exams like NEET and JEE. Students can expect questions that require them to calculate HCF and LCM, apply these concepts in problem-solving, and interpret word problems. Familiarity with common question patterns will enhance your confidence and performance in exams.
Common Mistakes Students Make
Confusing HCF with LCM and vice versa
Incorrectly applying the prime factorization method
Overlooking the importance of word problems in understanding concepts
Failing to recognize the relationship between HCF and LCM
Not practicing enough MCQs, leading to a lack of familiarity with question formats
FAQs
Question: What is the difference between HCF and LCM? Answer: HCF is the largest number that divides two or more numbers without leaving a remainder, while LCM is the smallest number that is a multiple of two or more numbers.
Question: How can I calculate HCF and LCM using prime factorization? Answer: To find HCF, take the product of the lowest powers of common prime factors. For LCM, take the product of the highest powers of all prime factors involved.
Question: Why is it important to practice HCF and LCM MCQs? Answer: Practicing MCQs helps reinforce your understanding, improves problem-solving speed, and prepares you for the types of questions you will encounter in exams.
Now that you have a clear understanding of HCF and LCM, it’s time to put your knowledge to the test! Solve practice MCQs and strengthen your grasp on these essential concepts to excel in your exams.
Q. Find the HCF of 48, 60, and 72.
A.
12
B.
24
C.
6
D.
18
Solution
The HCF of 48, 60, and 72 is 12, as it is the largest number that divides all three.
