Short Trick to find LCM of decimal numbers

Duration: 7 min

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Module outline

  1. Numerical Ability & Problem Solving: Speed Mathematics and Basic Mathematics, Arithmetic, Number System, HCF LCM, Divisibility Rules, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Mixture and Alligation, Time and Work, Pipe and Cistern, Speed Time and Distance, Age Problems, Partnership, Data Interpretation, Mental Ability, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Algebra, Statistics, Logarithm, Mensuration and Geometry, Permutation and Combination, Probability, Sequences and Series, Powers, Surds and Logarithms, Subject-Verb Agreement, Sentence Completion, Geometry, Sentence Structure and Correction, Data Sufficiency, Trigonometry, Measurement and Quantity Take-Off, Signal Space and Optimum Detection, Probability, Statistics, Algebra, Time and Work, Speed, Time and Distance, Data Interpretation, Combinatorics
  2. Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Logical Sequence Of Words, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence, Selection Decision Table (Decision Making), Alphabet and Word Tests, Numerical Reasoning, Number System, Averages, Mixtures and Alligation, Percentages, Series Completion, Analogy and Classification, Patterns in Two-Dimensional Figures, Coding and Decoding, Mathematical Operations, Direction Sense, Logical Deduction and Induction, Syllogisms and Venn Diagrams, Critical Reasoning, Order, Ranking and Sequence, Reading Comprehension, Profit, Loss and Discount, Constraint Puzzles, Traverse Surveying, Ratio and Proportion, Mensuration, Permutations and Combinations, Clocks and Calendars, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Cubes and Dice, Vocabulary, Blood Relations
  3. General Knowledge & Current Affairs (India + Rajasthan): History, Geography, Polity, Indian Economy, Static General Knowledge, State Wise GK, GK- Current Affairs, Environment, Physics
  4. Computer Fundamentals & Operating Systems: Basics of COA, Floating Point Rep, Digital Systems & Boolean Basics, Number Representation, Number System, Introduction to OS, File Management, Windows OS, Unix OS, Linux OS, Register Transfer and Microoperations, Virtual Memory
  5. Computer Networks: Introduction to CN, Data Communication, DLL: Error Control, DLL: Access Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Application Layer, Hardware Basics, Network Security
  6. Cyber Security: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security, Ethical Hacking
  7. Programming (C & OOP): C Fundamentals, Control Flow, Arrays & Pointers, Functions, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, OOPS with C++, Operators & Expressions, Sorting Algorithms, Java Fundamentals, Java
  8. MS Office & Data Processing: MS Office Applications, Basics of DBMS
  9. Internet & Web Technology: Society, Law & Ethics, Terms & Abbreviations, Keyboard Shortcuts, Emerging Tech Trends, Artificial Intelligence, Emerging Technologies, Internet Fundamentals, Website, Browser & Services, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security
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 tutorial on calculating the Least Common Multiple (LCM) of decimal numbers. The lesson begins with an introduction to the topic, followed by a detailed explanation of the method. The core technique involves converting decimal numbers into whole numbers by multiplying them by a power of 10 (e.g., 10, 100) to eliminate the decimal point. The LCM of these resulting whole numbers is then calculated using prime factorization. Finally, the result is divided by the same power of 10 used in the initial conversion to obtain the LCM of the original decimals. The video demonstrates this process with two examples: first, LCM(2.8, 0.63), and second, LCM(0.18, 0.24, 0.3). The instructor uses a digital whiteboard to write out the steps, including the prime factorization of the numbers and the final calculation, ensuring a clear and logical progression of the concept.

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 presentation with a cartoon teacher and a live video feed of the instructor, Yash Jain. The main topic is introduced on a green chalkboard: 'Least Common Common Multiple (LCM)'. The instructor begins the lesson by explaining the concept of LCM for decimals, setting the stage for the method to be demonstrated.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins the first example, LCM(2.8, 0.63). He explains the method of converting decimals to whole numbers by multiplying by 100, as both numbers have two decimal places. The on-screen text shows the conversion: (2.8, 0.63) x 100 = (280, 63). He then proceeds to find the LCM of 280 and 63 using prime factorization. The board shows the factorization: 63 = 7 x 9 = 7 x 3 x 3, and 280 = 7 x 4 x 10 = 7 x 2 x 2 x 2 x 5. The LCM is calculated as 7 x 2 x 2 x 2 x 3 x 3 x 5 = 2520. The final step is to divide this result by 100, yielding 25.20 as the LCM of the original decimals.

  3. 5:00 – 7:23 05:00-07:23

    The video presents a second example: LCM(0.18, 0.24, 0.3). The instructor explains that the highest number of decimal places is two, so the numbers are multiplied by 100. The conversion is shown as (0.18, 0.24, 0.3) x 100 = (18, 24, 30). He then finds the LCM of 18, 24, and 30. The prime factorization is shown: 18 = 2 x 3 x 3, 24 = 2 x 2 x 2 x 3, and 30 = 2 x 3 x 5. The LCM is calculated as 2 x 2 x 2 x 3 x 3 x 5 = 360. The final answer is obtained by dividing 360 by 100, resulting in 3.60. The video concludes with a 'THANKS FOR WATCHING' screen.

The video provides a clear, step-by-step guide to finding the LCM of decimal numbers, a topic that is often challenging for students. The instructor effectively breaks down the process into manageable steps: converting decimals to whole numbers, calculating the LCM of the whole numbers using prime factorization, and then converting the result back to a decimal. The use of two distinct examples reinforces the method and ensures the concept is well-understood. The visual aids, including the digital whiteboard and the instructor's clear explanations, make the lesson accessible and effective for learners preparing for competitive exams.

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