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Least Common Multiple

Description:

The least common multiple (LCM) refers to the smallest multiple that two or more numbers have in common. In other words, it is the smallest positive integer that is divisible by each of the given numbers.

Senses:

Sense 1:

In mathematics, the least common multiple is a concept that is used to find the smallest common multiple of two or more numbers.

Example:

The least common multiple of 3 and 4 is 12.

Sense 2:

In number theory, the least common multiple is also used to solve problems related to fractions and ratios.

Example:

To add fractions with different denominators, you need to find the least common multiple of the denominators.

Usages:

Usage 1: Mathematics

In mathematics, the least common multiple is a fundamental concept often used in various calculations and problem-solving.

Example:

To find the least common multiple of 6, 8, and 10, we can start by listing their multiples: 6 (6, 12, 18, 24...), 8 (8, 16, 24...), and 10 (10, 20, 30...). The common multiples are 24 and 48, but the least common multiple is 24.

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Usage 2: Education

Understanding the concept of the least common multiple is an essential topic covered in mathematics education.

Example:

The students were challenged to find the least common multiple of various pairs of numbers as part of their math assignment.

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