Скачать или смотреть Mathematics 9th Punjab Textbook Exercise 4.3 Question 3, Find LCM by factorization

Maths 9th Class | Exercise 4.3 Question 3
🔢 Finding LCM by Factorization Method | Step-by-Step Explanation
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In this video, we explain Mathematics 9th Class, Chapter 4 (Algebraic Expressions & Algebraic Formulas), Exercise 4.3, Question 3, where students learn how to find the LCM (Least Common Multiple) by the Factorization Method in a simple, clear, and exam-oriented way.
This lecture is specially prepared for 9th class students of Punjab Board, Federal Board (FBISE), KPK Board, Sindh Board, BISE, and other Pakistani boards, following the latest syllabus.
🔍 What You Will Learn in This Video
In this complete lesson, you will understand:
✔ What is LCM (Least Common Multiple)
✔ Difference between HCF and LCM
✔ Why factorization method is used to find LCM
✔ How to factorize algebraic expressions step by step
✔ How to select common and uncommon factors
✔ How to find LCM of algebraic terms and expressions
✔ Common mistakes students make in Exercise 4.3
✔ How to write answers according to board marking scheme
This video is perfect for beginners and also very useful for revision before exams.
📖 Chapter Overview: Algebraic Expressions & Algebraic Formulas
Chapter 4 of Class 9 Mathematics is one of the most important chapters because it builds the foundation of algebra. Exercise 4.3 focuses on:
Factorization
HCF (Highest Common Factor)
LCM (Least Common Multiple)
Use of algebraic identities
Question 3 of Exercise 4.3 is based on finding LCM using the factorization method, which is a frequently asked question in board exams.
🧠 What is LCM? (Concept Explanation)
LCM (Least Common Multiple) is the smallest expression that is completely divisible by all given expressions.
In algebra, LCM is found by:
Taking all factors (common and uncommon)
Using the highest power of each factor
In this video, we explain the concept using:
Easy language
Step-by-step working
Board-style presentation
✏️ Factorization Method – Explained Simply
The factorization method involves:
1️⃣ Writing each expression
2️⃣ Breaking expressions into prime factors or algebraic factors
3️⃣ Identifying:
Common factors
Uncommon factors
4️⃣ Taking highest powers of all factors
5️⃣ Multiplying them to get the LCM
All these steps are demonstrated clearly in the video for Exercise 4.3 Question 3.
🧮 Step-by-Step Solution of Exercise 4.3 Question 3
In this lecture, we solve Question 3 step by step:
🔹 Each algebraic expression is factorized separately
🔹 Powers of variables (x, y, a, b, etc.) are carefully handled
🔹 Coefficients are factorized properly
🔹 LCM is formed by combining required factors
🔹 Final answer is written in standard exam format
This helps students:
Improve concept clarity
Avoid silly mistakes
Score full marks
❗ Common Mistakes Students Make (And How to Avoid Them)
Many students lose marks because of:
❌ Ignoring highest power of variables
❌ Missing uncommon factors
❌ Incorrect factorization
❌ Confusing HCF with LCM
In this video, we highlight these mistakes and explain how to avoid them, which is extremely helpful for board exams.
🎯 Why This Video Is Important for Exams
📌 Frequently asked topic in 9th class board exams
📌 Important for objective, short, and long questions
📌 Builds foundation for 10th class algebra
📌 Useful for entry test preparation
If you understand Exercise 4.3 Question 3, the rest of the exercise becomes much easier.
👨‍🏫 Who Should Watch This Video?
✅ 9th Class Students (Punjab Board / Federal Board)
✅ Students preparing for Annual Exams
✅ Weak students who want basic to advanced explanation
✅ Teachers looking for clear teaching method
✅ Parents helping their children in studies
🏫 About Online Math Academy
Online Math Academy is dedicated to providing:
✔ Concept-based learning
✔ Board-oriented solutions
✔ Easy explanations in simple English
✔ Step-by-step problem solving
We cover:
Class 6 to Class 10 Mathematics
Punjab Board & Federal Board syllabus
Complete exercises & important questions
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📚 Related Videos You Should Watch
▶ Maths 9th Class Exercise 4.3 Question 1
▶ Maths 9th Class Exercise 4.3 Question 2
▶ HCF by Factorization Method
▶ Algebraic Expressions Full Chapter
▶ Factorization Tricks for Board Exams
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