Short Trick to find LCM of big numbers

Duration: 4 min

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Module outline

  1. General Intelligence & Reasoning: Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Logical Sequence Of Words, Syllogisms, Venn Diagram, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Data Sufficiency, Puzzle Solving (Puzzles), Data Arrangement, Cubes & Dices, Calendar, Clock, Arithmetic, Number System, Divisibility Rules, HCF LCM, Verbal Analogy (Word Based Analogy)
  2. General Awareness: Physics, Chemistry, Biology, History, Geography, Polity, Indian Economy, Environment, Static General Knowledge, GK- Current Affairs
  3. Engineering Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Linear Algebra, Calculus, Probability, Statistics
  4. Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  5. Computer Organisation & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design
  6. Programming & Data Structures: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  7. Databases: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control
  8. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  9. Theory of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory
  10. 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
  11. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  12. Computer Networks: Introduction to CN, 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. Full-Length Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain, is a tutorial on finding the Least Common Multiple (LCM) of numbers, specifically focusing on a method for large numbers. The video begins with an introduction to the topic, using a title card and a classroom-style animation. The core of the lesson demonstrates a step-by-step algorithm for calculating the LCM. The instructor first explains the method using the numbers 12 and 18, showing how to divide them by their common prime factors (2 and 3) to reduce them to 2 and 3, and then multiply the divisors (2 x 3) and the final quotients (2 x 3) to get the LCM of 36. The method is then applied to a more complex example with four numbers: 5, 15, 20, and 30. The instructor divides all numbers by their common prime factor 5, resulting in 1, 3, 4, and 6. The LCM of these reduced numbers is found to be 12, and the final LCM is calculated as 12 x 5 = 60. 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 background. It then transitions to a classroom setting with a cartoon teacher and a live instructor, Yash Jain, in a small window. The main screen shows a green chalkboard with the title 'Least Common Common Multiple (LCM)' and the topic '7. LCM of Big Numbers'. The instructor begins the lesson by introducing the concept of LCM, which is the smallest number that is a multiple of two or more given numbers. The first example shown is 'LCM (12, 18)'. The instructor explains the method of finding the LCM by dividing the numbers by their common prime factors. The first step shown is dividing 12 and 18 by 2, resulting in 6 and 9. The instructor then divides 6 and 9 by 3, resulting in 2 and 3. The final LCM is calculated as 2 x 3 x 2 x 3 = 36.

  2. 2:00 – 4:12 02:00-04:12

    The video continues with the second example, 'LCM (5, 15, 20, 30)'. The instructor demonstrates the same method. The numbers are divided by their common prime factor, 5, resulting in 1, 3, 4, and 6. The instructor then finds the LCM of these reduced numbers. The LCM of 1, 3, 4, and 6 is calculated as 12. The final LCM of the original numbers is then found by multiplying the common divisor (5) by the LCM of the reduced numbers (12), resulting in 5 x 12 = 60. The instructor emphasizes that this method is efficient for finding the LCM of large numbers. The video ends with a 'Thanks for Watching' screen.

The video provides a clear, step-by-step tutorial on a specific algorithm for calculating the Least Common Multiple (LCM) of multiple numbers, particularly useful for large numbers. The core method involves identifying a common prime factor of all the numbers, dividing them by this factor, and then recursively finding the LCM of the resulting quotients. The final LCM is the product of the common divisor and the LCM of the reduced numbers. The lesson progresses from a simple example (12, 18) to a more complex one (5, 15, 20, 30), demonstrating the method's scalability. The visual aids, including the animated classroom and the step-by-step writing on the virtual board, effectively support the explanation of this mathematical concept.

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