Choose a number you want to find a multiple for and multiply it by continuing whole numbers. For example, if you want to find the multiples of 2, perform the following calculations: 2 * 1 = 2, 2 * 2 = 4, 2 * 3 = 6, and continue onward with other whole numbers. In another example, multiples of the number 5 can be found by performing the following calculations: 5 * 1 = 5, 5 * 2 = 10, 5 * 3 = 15, 5 * 4 = 20, and 5 * 5 = 25.

Determine if the number can be divided without any remainder. A multiple of a number should be able to divided by the initial number you are seeking the multiple for without any remainder. For example, 8 is a multiple of 2, and as 2 * 4 = 8, therefore 8/2 = 4. In this example, 2 and 4 are also factors of 8 and there are no remainders left. Compare this to dividing 12 by 5. When you divide 12 by 5, there is a remainder of 2, which means that 12 is not a multiple of 5.

Analyze how the number is multiplied. Multiples of a number are the result of multiplying a number by a whole number. For example, multiply 2.5 (not a whole number) by 5 (a whole number). The result is 12.5, which means that 12.5 is a multiple of 2.5 since it was multiplied by 5 (a whole number). Compare this to multiplying 2.5 by 5.5. The result is 13.75. In this case, 13.75 cannot be called a multiple of 2.5 as it was not multiplied by a whole number, such as 1, 2, 3, 4 or 5.

Find the LCM (least common multiple) by looking at the multiples of two or more whole numbers. For example, analyze the multiples of 2 and 5 and find the common multiple between the multiples of 2 and 5. The LCM would be the smallest multiple from the common multiples of 2 and 5. In the example provided, the LCM of 2 and 5 is 10.