How To Find The Multiples Of A Number?

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The ability to determine the multiples of a number is a crucial math skill to possess for every child. It forms the core foundation of mathematical calculations and has a significant role in our daily life. This concept is widely used in a variety of fields, including basic transactions at the grocery store to higher-level scientific calculations. Multiples form the fundamental understanding of math topics like HCF, LCM, prime factorization, and hence it is necessary for all students to have a deep knowledge of them.

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What are Multiples?

In mathematics, multiples of a number are the product of two whole numbers. It is defined as the multiple of the numbers. E.g. 2 × 3 = 6 i.e. 6 is a multiple of 2 and 3. Additionally, for any given number, multiple is a number that can be divided by the given number exactly, without leaving any remainder at the end. There are never-ending multiples of a given number. Every number has at least two multiple; one is zero and the other itself.

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How to find the multiples of a number?

To find the multiple a number, multiply it by continuing whole numbers. For example, to find the multiples of 4, perform the calculation by multiplying: 4 * 1 = 4, 4 * 2 = 8, 4 * 3 = 12, and continue onward with other whole numbers. Similarly, we can find the multiples of the number 6 by performing the multiplication with whole numbers like: 6 * 1 = 6, 6 * 2 = 12, 6 * 3 = 18, 6 * 4 = 24, and 6 * 5 = 30.

We can use division to determine if a number is a multiple of a given number or not. If a number can be divided with the given number without any remainder, it is a multiple of that number. A multiple of a number should be divisible completely by the original number without any remainder. For example, 12 is a multiple of 2, and as 2 * 6 = 12, therefore 12/2 = 6. 

Multiples of any given number can be determined by using repetitive addition. Multiples of a number are the sequence of numbers with the same difference between them. To find the multiples of any number, add the same number to itself and keep repeating this addition to find its subsequent multiples. For example, the multiples of 3 are 3, 6, 9, 12, and so on. By merely adding three repetitively to the last number, you can easily find the multiples of 3, i.e., 3+3= 6, 6+3 = 9, 9 + 3 = 12, and so on.

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What is LCM?

LCM (Least common multiple) is the least number which is exactly divisible by each one of the given numbers. Multiples are useful in finding the LCM of two numbers. By looking at the multiples of two or more whole numbers we can easily find their least common multiples. For example, by analyzing the multiples of 12 and 15 we can find the common multiple between the multiples of 12 and 15. I.e, ‘3’.


The concept of multiples is important not only in studies but also in our daily lives. Therefore, an in-depth conceptual fluency of multiples is vital for gaining fundamental math skills. Cuemath encourages kids to learn math through reasoning. It provides various interactive resources for kids to gain conceptual fluency. To find some interesting learning resources, visit

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