The knowledge of multiples is as follows:

Multiplication is a property of integers, which is usually used to describe whether one number is divisible by another. More specifically, if an integer A is divisible by another integer B, then A is a multiple of B ... expressed by mathematical symbols, it can be written as:

a = b * n

Where a is a multiple of b and n is an integer. This formula means that a is n times that of b.

For example, consider the numbers 12 and 6. We can say that 12 is twice that of 6, because 12 can be divisible by 6, that is, 12 = 6 * 2.

First, the nature of multiple:

Multiplication has some important properties and is very useful in solving mathematical problems. Here are some common multiple attributes:

Zero is a multiple of any integer: 0 is a multiple of all integers, because for any integer a, there is an integer n that makes a = 0 * n.

The same integer is a multiple of itself: any integer A is a multiple of itself, because A is divisible by itself, that is, a = a * 1.

A multiple of an integer can be decomposed into a multiple of another integer: if A is a multiple of B and B and a multiple of C, then A is also a multiple of C. This can be expressed as a = b * n 1 and b = c * n2, thus obtaining a = c * (n 1 * n2), which indicates that A is a multiple of C.

The least common multiple of two integers: the least common multiple of two integers A and B is an integer that is the least multiple of both. The least common multiple is usually represented by the symbol lcm(a, b).

Second, how to use multiples to calculate?

Multiplication is very useful in solving various mathematical problems, especially in arithmetic and algebra. Here are some examples of how to use multiples to calculate:

Maximum common factor: by calculating the multiple of two integers, you can find their maximum common factor. The greatest common divisor is the greatest multiple of two integers. For example, if you want to find the greatest common divisor of 24 and 36, you can list their multiples, and then find their * * * same factor, and the largest is their greatest common divisor.

Minimum common multiple: the minimum common multiple is the smallest integer in the multiple of two integers. Usually used to solve problems in fractional operation and polynomial operation. Calculating the least common multiple can help us find the simplest fraction or merge polynomials.

Reduction and general division: By finding the least common multiple of two fractions, we can divide them for addition and subtraction. Universal scoring can make score operation more convenient and accurate.

Solving equations: In algebra, multiples are often used to solve equations. By finding the least common multiple of each term in the equation, the fraction can be cleared, thus simplifying the solving process of the equation.