What is a multiple What is LCM Find LCM by inspection

Duration: 11 min

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Module outline

  1. English Comprehension/Verbal Ability: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Vocabulary, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Subject Verb Agreement (Verb Noun Agreement), Tenses, Verb, Articles, Preposition, Conjunction, Pronoun, Noun, Adjectives, Adverb, Modals, Cloze Test (Cloze Passage), Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Construction
  2. Logical Ability: Coding Decoding, Directions (Direction Test), Analogy, Inequality, Data Sufficiency, Series (Number and Letter Series) (Numerical Relations and Reasoning), Syllogisms, Seating Arrangements, Puzzle Solving (Puzzles), Blood Relations, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Ranking, Order and Sequence, Logical Sequence Of Words, Data Arrangement, Venn Diagram, Calendar, Clock
  3. Quantitative Ability: Logarithm, Permutation and Combination, Probability, Profit and Loss, Speed Time and Distance, Mixture and Alligation, Partnership, Simple Interest and Compound Interest, Percentage, Ratio and Proportion (Ratios), Average, Time and Work, Pipe and Cistern, Number System, Divisibility Rules, HCF LCM, Algebra, Powers and Exponents (Surds and Indices), Mensuration and Geometry, Age Problems, Data Interpretation, Sequence and Series (Series)
  4. Basic Analytical Ability: Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analytical Reasoning (Counting Figures Reasoning), Cubes & Dices, Selection Decision Table (Decision Making)
  5. Computer Programming: Pseudo Codes, Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
  6. DBMS (Computer Science): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Transaction Management, Concurrency Control, Database Security & Authorization
  7. SQL (Computer Science): SQL
  8. OS (Computer Science): Introduction to OS, Process Management, CPU Scheduling, Deadlock, Process Synchronization, Threads & Process Creation, Memory Management, Virtual Memory, File Management
  9. Computer Networks (Computer Science): 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
  10. Data Structures (Computer Science): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. OOPs (Computer Science): Object Oriented Programming (OOPS)
  12. Software Engineering (Computer Science): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  13. SVAR Conversational - Spoken English: Communication Assessment
  14. HR Interview: MR & HR Interview Preparation
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a comprehensive lesson on the concepts of Least Common Multiple (LCM) and Highest Common Factor (HCF), presented by an instructor named Yash Jain. The video begins with an introduction to the topic, followed by a clear definition of a 'multiple' as a number that can be divided by another number without a remainder. It then contrasts this with 'factors', explaining that a factor divides a number, while a multiple is divided by a number. The core of the lesson focuses on the method of finding the LCM by inspection, which involves listing the multiples of each number and identifying the smallest common multiple. This method is demonstrated with examples, such as finding the LCM of 5, 7, and 10, which is determined to be 70. The video also introduces the concept of LCM by prime factorization, using the numbers 5, 15, 20, and 30 as an example, where the LCM is found to be 60. The lesson concludes with a key takeaway: the LCM is always greater than or equal to the largest number in the set. The presentation uses a digital whiteboard with handwritten text and diagrams, and includes a small video feed of the instructor.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card displaying 'LCM & HCF' against a digital background of floating numbers. It then transitions to a classroom setting with a cartoon teacher and a green chalkboard. The instructor, Yash Jain, introduces the topic of 'Least Common Multiple (LCM)' and begins to explain the concept. The on-screen text clearly states 'Least Common Multiple (LCM)' and the instructor's name is visible. The visual style is a mix of animation and a live video feed of the instructor.

  2. 2:00 – 5:00 02:00-05:00

    The video focuses on defining a 'multiple'. The on-screen text asks 'What is a multiple?'. The instructor explains that a multiple of a number is the product of that number and an integer. He provides examples, writing '5 = 5, 10, 15, 20, 25, 30, 35...' and '7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70...'. The video then contrasts 'factors' and 'multiples', stating that a 'Factor divides the number' and a 'Multiple is divided by the number'. Examples for the number 12 are used to illustrate this difference, showing its factors {1, 2, 3, 4, 6, 12} and its multiples {12, 24, 36, 48...}. The instructor also notes that factors are always less than or equal to the number, while multiples are greater than or equal to the number.

  3. 5:00 – 10:00 05:00-10:00

    The video explains the method for finding the LCM by inspection. The on-screen text asks 'What is Least Common Multiple (LCM)?'. The instructor demonstrates this by listing the multiples of 5, 7, and 10. He circles the common multiples, such as 70, and identifies the smallest one, concluding that LCM(5, 7, 10) = 70. The video then introduces the second method, 'LCM by Inspection' for the numbers 5, 15, 20, and 30. The instructor lists the multiples of each number, circles the common ones (60, 120, 180...), and identifies the smallest, stating that LCM(5, 15, 20, 30) = 60. A key point is highlighted: 'LCM is always greater than or equal to the largest number'.

  4. 10:00 – 10:43 10:00-10:43

    The video concludes with a final summary slide. The instructor reiterates the key point that the LCM is always greater than or equal to the largest number in the set, with the equation 'LCM ≥ 30' shown for the example of 5, 15, 20, and 30. The video ends with a 'THANKS FOR WATCHING' message on a black background, signaling the end of the lesson.

The video presents a structured and clear lesson on LCM and HCF, starting with foundational definitions and progressing to practical problem-solving methods. It effectively uses visual aids like a digital whiteboard to illustrate concepts such as listing multiples and identifying common values. The core teaching method demonstrated is 'LCM by inspection', which is shown to be a reliable technique for finding the least common multiple of a set of numbers. The lesson is well-organized, moving from basic definitions to worked examples, and concludes with a key takeaway that reinforces the relationship between the LCM and the numbers involved.

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