Short Trick to find LCM of 2 numbers when HCF is given

Duration: 6 min

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Module outline

  1. About Course: About the Course
  2. Paper 2 | Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  3. Paper 2 | Computer Organization And Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Control Unit Design, Instr Formats & Modes, Programming the Basic Computer
  4. Paper 2 | Analog And Digital Communication: Introduction to Communication Systems & Random Signals, Analog Communication Systems, Information Theory & Digital Communication Fundamentals, Digital Modulation & Detection Techniques, Error Control, Synchronization & Multiple Access Techniques
  5. Paper 2 | Programming in C: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. Paper 2 | Data Structures And Programming: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Java Fundamentals, Array, String, IO & References, OOPS with Java, Generic & Collections
  7. Paper 2 | Algorithms: Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  8. Paper 2 | Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  9. Paper 2 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS, Linux OS
  10. Paper 2 | Databases: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, File Organization & Indexing, Transaction Management, Concurrency Control
  11. Paper 2 | Information Systems and Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  12. Paper 2 | Computer Networks: 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
  13. Paper 2 | Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, HTML Basics, JavaScript-Basics, CSS, XML, HTML5
  14. Paper 2 | Cyber Security And Emerging Technologies: Emerging Tech Trends, Internet of Things
  15. Paper 2 | Cloud Technology: Cloud Computing
  16. Paper 2 | Probability and statistics: Probability, Statistics
  17. Paper-1 English: Vocabulary, Preposition, Articles, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Cloze Test (Cloze Passage), Sentence Construction
  18. Paper 1 General Mental Ability & Logical reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Powers and Exponents (Surds and Indices), Algebra, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Mensuration and Geometry, Mental Ability, Age Problems, Partnership, Arithmetic, Speed Mathematics and Basic Mathematics, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Venn Diagram, Analogy
  19. Paper-1 General Knowledge & Current Affairs: State Wise GK, History, Geography, GK- Current Affairs, Static General Knowledge
  20. Full Length Mock Test:
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) of two numbers when their Highest Common Factor (HCF) is known. The video begins with an introduction to the topic, followed by a detailed explanation of the fundamental relationship between the product of two numbers, their HCF, and their LCM. This key formula, 'Product of numbers = HCF * LCM', is highlighted as an 'Important Result'. The instructor demonstrates this formula with a worked example using the numbers 12 and 20, showing how to calculate the HCF and then use the formula to find the LCM. The core of the video is a practical application of this formula to solve a specific problem: 'If HCF of 189 and 297 is 27, find their LCM.' The instructor walks through the calculation step-by-step, multiplying the two numbers (189 x 297) and dividing the result by the HCF (27) to arrive at the final answer of 2079. The video concludes with a summary of the method and 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 lecture screen with a cartoon teacher and a live video feed of the instructor, Yash Jain. The screen shows the topic 'HCF' and 'LCM' with examples of their calculation methods. The instructor introduces the concept of finding the LCM when the HCF is known, setting up the problem: 'If HCF of 189 and 297 is 27, find their LCM.' The on-screen text clearly states the question and the given HCF value.

  2. 2:00 – 5:00 02:00-05:00

    The instructor explains the core formula for solving the problem. He writes on the screen: 'Product of numbers = HCF * LCM'. He then demonstrates this with an example using the numbers 12 and 20, calculating their HCF as 4 and their LCM as 60, and verifying the formula: 12 x 20 = 4 x 60. After establishing this method, he returns to the original problem. He writes the equation: LCM x HCF = 189 x 297. He substitutes the known HCF value of 27, resulting in LCM x 27 = 189 x 297. He then performs the division: LCM = (189 x 297) / 27, which simplifies to LCM = 7 x 297, and finally calculates the result as 2079.

  3. 5:00 – 6:00 05:00-06:00

    The video concludes with a summary of the 'Important Result' formula: 'Product of numbers = HCF * LCM'. The instructor reiterates that this formula is the key to solving such problems efficiently. The final frame is a black screen with an orange and white 'THANKS FOR WATCHING' message, signaling the end of the lesson.

The video presents a clear, step-by-step tutorial on a specific mathematical problem. It effectively uses a combination of visual aids, including on-screen text and handwritten equations, to teach the relationship between HCF and LCM. The instructor first establishes the fundamental formula as a key concept, then applies it to a concrete example to build understanding, and finally uses this knowledge to solve the initial problem. The progression from theory to application provides a solid learning framework for students to solve similar problems.

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