LCM
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Subject: General Mathematics
Class: Primary 4
Term: 1st Term
Week: 2
Theme: Numbers And Numeration
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Watch on YouTubeSee Facebook postThis lesson focuses on the concept of the Lowest Common Multiple (LCM) for numbers up to
9. Understanding LCM is fundamental in mathematics, as it lays the groundwork for operations with fractions (finding common denominators) and solving real-world problems involving cyclic events or combining quantities. In the Nigerian context, grasping LCM can help students solve practical problems such as scheduling community activities, planning for shared resources like water collection or market trips, or determining when events will coincide. Performance Objectives (Learner-Friendly Language): Upon completion of this lesson, students should be able to: Identify multiples of small numbers (up to 9).
This section explains the foundational concepts required for understanding LCM, providing definitions, step-by-step reasoning, and worked examples suitable for Primary 4 learners. 2.1 Multiples Definition: A multiple of a number is the result of multiplying that number by any whole number (excluding zero). In simpler terms, multiples are the numbers you get when you count by a certain number.
Explanation: To find the multiples of a number, multiply it by 1, 2, 3, 4, and so on.
Example: Multiples of 2: 2 × 1 = 2, 2 × 2 = 4, 2 × 3 = 6, 2 × 4 = 8, 2 × 5 = 10, ... So, the multiples of 2 are {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...} Multiples of 3: 3 × 1 = 3, 3 × 2 = 6, 3 × 3 = 9, 3 × 4 = 12, 3 × 5 = 15, ... So, the multiples of 3 are {3, 6, 9, 12, 15, 18, 21, ...} Multiples of 4: {4, 8, 12, 16, 20, 24, 28, 32, 36, ...} Multiples of 5: {5, 10, 15, 20, 25, 30, 35, 40, 45, ...} 2.2 Common Multiples Definition: Common multiples are the numbers that appear in the list of multiples for two or more different numbers.
Explanation: After listing the multiples for each number, identify the numbers that are present in all the lists.
Example: Find the common multiples of 2 and
3. List multiples of 2: {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...} List multiples of 3: {3, 6, 9, 12, 15, 18, 21, ...} Identify common numbers in both lists: {6, 12, 18, ...} Therefore, the common multiples of 2 and 3 are 6, 12, 18, and so on. 2.3 Lowest Common Multiple (LCM)
Definition: The Lowest Common Multiple (LCM) is the smallest non-zero number that is a multiple of two or more numbers. It is the first common multiple you encounter when listing the multiples of the given numbers.
Explanation: Among the common multiples, the LCM is the smallest one. 2.4 Methods for Finding LCM Method 1: Listing Multiples (for numbers up to 9) This method is suitable for smaller numbers and helps build conceptual understanding.
Steps: List out the first few multiples of the first number. List out the first few multiples of the second number. Compare the two lists and identify the common multiples. The smallest number among the common multiples is the LCM.