Short Trick to find LCM & HCF of fractions

Duration: 9 min

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Module outline

  1. Quantitative Ability: Percentage, Profit and Loss, Ratio and Proportion (Ratios), Average, Time and Work, Speed Time and Distance, Simple Interest and Compound Interest, Age Problems, Number System, Divisibility Rules, HCF LCM, Algebra, Permutation and Combination, Probability, Data Interpretation, Logarithm, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Speed Mathematics and Basic Mathematics
  2. Logical Reasoning: Seating Arrangements, Puzzle Solving (Puzzles), Data Arrangement, Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Data Sufficiency, Venn Diagram, Inequality, Series (Number and Letter Series) (Numerical Relations and Reasoning), Logical Sequence Of Words, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)
  3. Verbal Ability: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Subject Verb Agreement (Verb Noun Agreement), Tenses, Articles, Preposition, Conjunction, Modals, Active Passive Voice (Voice), Direct and Indirect Speech, Vocabulary, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Completion (Fill in the blanks), Sentence Correction (Error Correction), Cloze Test (Cloze Passage), Facts, Inference and Judgements
  4. Programming Fundamentals (Technical): C Fundamentals
  5. Data Structures (Technical): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  6. Algorithms (Technical): Algorithm Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Time Complexity Analysis, Advanced Algorithms
  7. OOPs (Technical): Object Oriented Programming (OOPS)
  8. DBMS (Technical): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  9. SQL (Technical): SQL
  10. Operating Systems (Technical): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  11. Computer Networks (Technical): Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
  12. Software Engineering (Technical): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  13. Coding/Automata Round: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir, Pseudo Codes
  14. Personality / Behavioral Assessment: Behavioral Assessment (Behavioral Competency Profiling) (Psychometric Test)
  15. Writing Assessment: English Writing Ability
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain from Knowledge Gate Eduventures, provides a comprehensive lesson on finding the Least Common Multiple (LCM) and Highest Common Factor (HCF) of fractions. The lecture begins with an introduction to the topic, followed by the presentation of the core formulas. The LCM of fractions is defined as the LCM of the numerators divided by the HCF of the denominators, while the HCF of fractions is the HCF of the numerators divided by the LCM of the denominators. The instructor then demonstrates these concepts through a series of worked examples. The first example calculates the LCM of the fractions 7 1/2, 6 1/4, and 35/8, which involves converting mixed numbers to improper fractions (15/2, 25/4, 35/8), finding the LCM of the numerators (15, 25, 35) as 525, and the HCF of the denominators (2, 4, 8) as 2, resulting in an LCM of 525/2. The second example calculates the HCF of 3/2, 9/8, and 15/16, which involves finding the HCF of the numerators (3, 9, 15) as 3 and the LCM of the denominators (2, 8, 16) as 16, resulting in an HCF of 3/16. The final example calculates the HCF of 28/15, 98/35, and 56/25, yielding a result of 14/525. The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card displaying 'LCM & HCF' against a digital, data-stream background. It then transitions to a classroom-style animation with a female teacher character and a male instructor, Yash Jain, in a picture-in-picture window. The main topic is introduced as 'Least Common Multiple (LCM)' and 'Highest Common Factor (HCF)'. The instructor begins to explain the concept of LCM of fractions, writing the formula on a digital whiteboard: LCM of (a/b, c/d, e/f) = LCM(a, c, e) / HCF(b, d, f). The on-screen text '9. LCM of fractions' is visible at the top of the whiteboard.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues to explain the concept of LCM of fractions, writing the formula LCM(a/b, c/d, e/f) = LCM(a, c, e) / HCF(b, d, f) on the whiteboard. He then transitions to the concept of HCF of fractions, writing the formula HCF(a/b, c/d, e/f) = HCF(a, c, e) / LCM(b, d, f). The on-screen text '9. LCM of fractions' remains visible. The instructor uses red ink to highlight the key components of the formulas, emphasizing the relationship between the LCM and HCF of the numerators and denominators. The copyright notice for 'KNOWLEDGE GATE EDUVENTURES' is visible at the bottom of the screen.

  3. 5:00 – 8:51 05:00-08:51

    The video presents a worked example for LCM of fractions: LCM(7 1/2, 6 1/4, 35/8). The instructor converts the mixed numbers to improper fractions: 15/2, 25/4, and 35/8. He then applies the formula, calculating LCM(15, 25, 35) = 525 and HCF(2, 4, 8) = 2, resulting in an LCM of 525/2. The next example is HCF(3/2, 9/8, 15/16). He calculates HCF(3, 9, 15) = 3 and LCM(2, 8, 16) = 16, resulting in an HCF of 3/16. The final example is HCF(28/15, 98/35, 56/25). He calculates HCF(28, 98, 56) = 14 and LCM(15, 35, 25) = 525, resulting in an HCF of 14/525. The video ends with a 'Thanks for Watching' screen.

The video provides a clear, step-by-step tutorial on calculating the LCM and HCF of fractions. It begins by establishing the fundamental formulas, which are the cornerstone of the lesson. The instructor then applies these formulas to three distinct problems, each demonstrating a different aspect of the calculation process, such as handling mixed numbers and simplifying the final result. The consistent use of a digital whiteboard for writing and the clear, methodical approach make the complex topic accessible for students preparing for competitive exams.

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