UPSC Exam > UPSC Notes > CSAT Preparation > PPT: HCF & LCM
PPT HCF & LCM - CSAT Preparation - UPSC PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1 LCM AND HCF LCM AND HCF USING PRIME FACTORISATION Page 2 LCM AND HCF LCM AND HCF USING PRIME FACTORISATION LEARNING OUTCOMES Understand how to find LCM and HCF by listing out multiples and factors Use prime factorisation to find HCF and LCM Page 3 LCM AND HCF LCM AND HCF USING PRIME FACTORISATION LEARNING OUTCOMES Understand how to find LCM and HCF by listing out multiples and factors Use prime factorisation to find HCF and LCM L C M LCM stands for the lowest common multiple of two numbers. H C F HCF stands for the highest common factor of two numbers K E Y W O R D S K E Y W O R D S Page 4 LCM AND HCF LCM AND HCF USING PRIME FACTORISATION LEARNING OUTCOMES Understand how to find LCM and HCF by listing out multiples and factors Use prime factorisation to find HCF and LCM L C M LCM stands for the lowest common multiple of two numbers. H C F HCF stands for the highest common factor of two numbers K E Y W O R D S K E Y W O R D S LOWEST COMMON MULTIPLE Find the LCM of 12 and 16 Multiples appear in the number's times tables Multiples of 12: Multiples of 16: 12, 24, 36, 48, 60 16, 32, 48, 64, 80 LCM = 48 Page 5 LCM AND HCF LCM AND HCF USING PRIME FACTORISATION LEARNING OUTCOMES Understand how to find LCM and HCF by listing out multiples and factors Use prime factorisation to find HCF and LCM L C M LCM stands for the lowest common multiple of two numbers. H C F HCF stands for the highest common factor of two numbers K E Y W O R D S K E Y W O R D S LOWEST COMMON MULTIPLE Find the LCM of 12 and 16 Multiples appear in the number's times tables Multiples of 12: Multiples of 16: 12, 24, 36, 48, 60 16, 32, 48, 64, 80 LCM = 48 HIGHEST COMMON FACTOR Find the HCF of 12 and 16 Factors are numbers that divide into a number exactly Factors of 12: Factors of 16: 1, 2, 3, 4, 6, 12 1, 2, 4, 8, 16 HCF = 4Read More
FAQs on PPT: HCF & LCM
| 1. What's the difference between HCF and LCM, and when do I use each one? |  |
Ans. HCF (Highest Common Factor) finds the largest number dividing two or more numbers, while LCM (Least Common Multiple) finds the smallest number divisible by them. Use HCF for dividing things equally; use LCM for finding common multiples or scheduling problems. Both are fundamental in number theory for CSAT preparation.
| 2. How do I find HCF using the Euclidean algorithm quickly? | |
Ans. The Euclidean algorithm repeatedly divides the larger number by the smaller, then divides the divisor by the remainder until remainder becomes zero. The last non-zero remainder is the HCF. This method is faster than listing factors and essential for solving HCF problems efficiently in competitive exams.
| 3. Can I use prime factorisation to find both HCF and LCM at the same time? | |
Ans. Yes, prime factorisation works excellently for both. For HCF, multiply common prime factors with their lowest powers. For LCM, multiply all prime factors with their highest powers. This simultaneous approach saves time and is particularly useful when dealing with multiple numbers in CSAT reasoning questions.
| 4. What's the relationship between HCF, LCM, and the product of two numbers? | |
Ans. For any two numbers, HCF × LCM equals their product. This fundamental relationship helps verify calculations and solve problems without finding both separately. Students often use this formula to find one value when the other is known, making it invaluable for quantitative aptitude sections.
| 5. How do HCF and LCM apply to real exam problems about time, distance, and work? | |
Ans. LCM determines when repeating events coincide (like bells ringing together or vehicles meeting). HCF simplifies ratios in work distribution problems. Understanding these applications transforms abstract concepts into practical CSAT scenarios, helping students recognise problem types quickly and apply correct methods efficiently.
About this Document
3K Views
4.97/5 Rating
May 14, 2026 Last updated
Related Exams
Document Description: PPT: HCF & LCM for UPSC 2026 is part of CSAT Preparation preparation. The notes and questions for PPT: HCF & LCM have been prepared according to the UPSC exam syllabus. Information about PPT: HCF & LCM covers topics like and PPT: HCF & LCM Example, for UPSC 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for PPT: HCF & LCM.
Introduction of PPT: HCF & LCM in English is available as part of our CSAT Preparation for UPSC & PPT: HCF & LCM in Hindi for CSAT Preparation course. Download more important topics related with notes, lectures and mock test series for UPSC Exam by signing up for free. UPSC: PPT: HCF & LCM
Description
PPT: HCF & LCM of CSAT Preparation - covers important aspects of the topic & is important for the UPSC exam. Download the presentation on EduRev.
Information about PPT: HCF & LCM
In this doc you can find the meaning of PPT: HCF & LCM defined & explained in the simplest way possible. Besides explaining types of PPT: HCF & LCM theory, EduRev gives you an ample number of questions to practice PPT: HCF & LCM tests, examples and also practice UPSC tests
Related Searches
Summary, PPT: HCF & LCM, past year papers, Exam, practice quizzes, shortcuts and tricks, Free, Extra Questions, study material, Important questions, Objective type Questions, MCQs, PPT: HCF & LCM, Viva Questions, Semester Notes, PPT: HCF & LCM, pdf , mock tests for examination, ppt, Sample Paper, Previous Year Questions with Solutions, video lectures;