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Least Common Multiple (LCM)

Explore the concept of least common multiple (LCM) with our interactive guide designed for grade 4-6 kids. Engage in exciting activities, examples, and problem-solving exercises to understand how to find the least common multiple of numbers and its applications in real-life situations and mathematical problems.

The least common multiple (LCM)

of two or more numbers is the smallest number that is a multiple of each of those numbers.

To find the LCM of two numbers, you can list the multiples of each number and then find the smallest multiple that they have in common. For example, to find the LCM of 6 and 8, you would list the first few multiples of 6 (6, 12, 18, 24, 30, ...) and the first few multiples of 8 (8, 16, 24, 32, 40, ...), and then find the smallest multiple that they have in common, which is 24. So the LCM of 6 and 8 is 24.

To find the LCM of more than two numbers, you can use the same process, listing the multiples of each number and then finding the smallest multiple that they all have in common.

There are also mathematical methods to find LCM of two or more numbers, such as finding the product of the numbers and then dividing by their GCF (greatest common factor).

LCM is also known as the least common multiple and it is used in many areas of mathematics such as number theory, algebra and geometry. It is also used in many real-world applications such as scheduling and time management.

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