Boost your Class 5 students’ understanding of Multiples with these fun and educational practice worksheets! This post offers free downloadable worksheets covering the following important topics:
- Common Multiples: Learn how to identify multiples shared by two or more numbers.
- Lowest Common Multiple (LCM): Master the concept of finding the smallest multiple that two or more numbers share.
- Finding LCM by Prime Factorization: Explore an effective method to calculate the LCM using prime factorization.
- Difference Between LCM and HCF: Understand the key distinctions between these two concepts with clear examples.
These worksheets are designed to make learning multiples easy, engaging, and effective. They encourage students to practice and strengthen their problem-solving skills while developing a solid mathematical foundation.
Table of Contents
Quick Summary on Multiples for Class 5 Students
1. Common Multiples
- Multiples are the numbers we get when we multiply a number by 1, 2, 3, and so on.
- Common multiples are the multiples that two or more numbers share.
Example:- Multiples of 3: 3,6,9,12,15,18,21…
- Multiples of 4: 4,8,12,16,20,24…
- Common multiples of 3 and 4: 12,24…
2. Lowest Common Multiple (LCM)
- The LCM of two or more numbers is the smallest number that is a multiple of all the given numbers.
Example:- LCM of 3 and 4: 12 (smallest number in the list of common multiples).
3. Finding LCM by Prime Factorization
- Step 1: Find the prime factorization of each number.
- Step 2: Take the highest powers of all prime factors.
- Step 3: Multiply these prime factors together to get the LCM.
Example:- Prime factorization of 12 = 22×32
- Prime factorization of 18 = 2×32
- LCM = 22×32=36
4. Difference Between LCM and HCF
- LCM is the smallest number that is a multiple of the given numbers.
- HCF is the largest number that is a factor of the given numbers.
Example:
For 12 and 18:
- LCM = 36 (smallest common multiple).
- HCF = 6 (largest common factor).
Disclaimers
Please don’t rely solely on the answer keys provided. As a human, I might have made mistakes, so double-check answers and use your judgment. These worksheets are free to download and use for personal purposes. Kindly avoid using them for commercial purposes.
Download the worksheets today and help your students excel in their math journey!