What is the least common multiple of 8 and 7? What is the least common multiple of 7,8,6?

The least common multiple of 8 and 7 is 56.

The least common multiple refers to the common multiple of two or more integers called their common multiple, where the smallest common multiple other than 0 is called the least common multiple of these integers. The least common multiple of the integers a,b is denoted as [a,b], and similarly, the least common multiple of a,b,c is denoted as [a,b,c], and the least common multiple of multiple integers is also denoted by the same notation.

The concept corresponding to the least common multiple is the greatest common divisor, and the greatest common divisor of a, b is denoted as (a, b). Regarding the least common multiple and the greatest common divisor, we have this theorem: (a,b)x[a,b]=ab(a,b are integers).

The nature of the least common multiple: common multiple refers to two or more natural numbers, if they have the same multiple, these multiples are their common multiples, in which the smallest common multiple other than 0 is called the least common multiple of these numbers.

Property between the greatest common factor and the least common multiple: The product of two natural numbers is equal to the product of the greatest common divisor and the least common multiple of these two natural numbers. In the calculation of the least common multiple, it is necessary to find all the common prime factors and unique prime factors of the three numbers, and finally divide them until they are mutually primary.

Characteristics of least common multiples: the multiples are only the smallest and not the largest, because the multiples of two numbers can be infinite.

Calculation method of least common multiple:

1. Decomposition of prime factor method.

2. Formula method.

The application of the least common multiple to practice is called the least common multiple method. The least common multiple method is a term in statistics that uses the least common multiple of the calculation period of each alternative as the common calculation period of the comparison scheme, and assumes that each scheme is repeated in such a common calculation period.

The least common multiple of 7 and 8 is 56, because there is no common factor between the two, so their least common multiple is the product of their two themselves, generally speaking, to find the least common multiple and the greatest common factor can be found by short division, find their common factor, and then multiply this common factor by the remainder at the end, which is their least common multiple, such as 4 and 6, they have the common factor 2 then 2 2 multiplied by 3, and their least common multiple is 12.

Because of coprime, the least common multiple of is their product 56

For reference, please smile.

Because 8 and 7 are prime numbers of each other, their least common multiple should be that the product of 8 and 7 is equal to 56, that is, the least common multiple of 8 and 7 is 56

Because 8 and 7 are coprime, their least common multiple is 8 7 = 56

Because the greatest common divisor of 8 and 7 is 1

So 8 and 7 are mutual.

Since 7 is a prime number, and the factor has only 1 and itself, the least common multiple of 8 and 7 is 8 7 = 56.

8 and 7 are coprime numbers, and their least common multiple is their product, i.e. 8 7 = 56

The greatest common factor of 8 and 7 is 1, so the least common multiple of 8 and 7 is 8*7=56.

8 and 7 are coprime numbers, and the least common multiple is their product, 8 7 56.

The least common multiple of 8 and 7 is 56.

So the least common multiple is 56.

The least common multiple is equal to the product of the two numbers, and the least common multiple of 8 and 7 is 56

The least common multiple of 8 and 7 is 56 because 8 and 7 are coprime numbers.

Since 7 is a prime number, the least common multiple of 8 and 7 = 8 7 = 56

The least common multiple of 8 and 7 is 8 7 = 56.

The system's answer is wrong.

Lcm.

Least common multiple (least

common

Multiple, abbreviation, if there is a natural number A that is divisible by the natural number B, a is said to be a multiple of b, b is the divisor of a, and for two positive integers, it refers to the smallest of the multiples of the two numbers. When calculating least common multiples, the greatest common divisor is usually used to aid the calculation.

For example, if the 10 heavenly stems and the 12 earthly branches are mixed to call a lunar year, the time it takes for the stem and branch cycles to return to the same name is 12 and.

The least common multiple of 10 is.

60 - a "Jiazi".

When adding and subtracting fractions, the denominator of the two numbers is required to be the same to calculate, so it needs to be scored; If the denominator of two fractions is divided into the lowest common multiple, the amount of computation is the lowest.

Method 1: Short division.

Steps: 1. Find the least common divisor of two numbers, divide them shortly, and remove these two numbers with the least approximate multiple to obtain two quotients;

2. Find out the least common divisor of the two quotients, remove the two quotients with the least common divisor, and obtain a new level of two quotients;

3. And so on until the two quotients are coprime numbers;

4. Multiply all the common divisors and the final quotient of the two numbers, and the resulting product is the least common multiple of the original two numbers.

Example: Find the least common multiple of 48 and 42.

Solution: The least common divisor between 48 and 42 is 2

48/2=24；42/2=21；The greatest common divisor between 24 and 21 is 3

24/3=8；21/3=7；8 and 7 are prime numbers with each other.

Method 2: Prime factor factorization.

Example: Least common multiple of 12 and 27.

You must use the largest power of the numbers in it, like this question has a cube of 3 and 3, so you must use the cube of 3 (that is, 3*3*3), you can't use 3

So: 2*2 3*3*3=4 27=108

The least common multiple of two numbers is 108

Method 3: Find the least common multiple with the help of the greatest common divisor.

Steps: 1. Use the rolling method or other methods to obtain the greatest common divisor;

2. The least common multiple is equal to the product of two numbers divided by the greatest common divisor.

Example: The greatest common divisor of 12 and 8 is 4

The least common multiple of two numbers is 24

Note: The common divisor is also known as the common factor.

Their minimum total multiple is 168

Short division 2 | 7 8 6

The least common multiple is 2x7x4x3 = 168

Wow, little friend. My sister will give you the answer.

8 and 7 are coprime numbers, and the least common multiple is their product. 7×8=56

The least common multiple of 7 and 8 is 56.

The process is as follows:

7 is a prime number and can only be decomposed into the product of 1 and 7.

The prime factor of 8 is decomposed, 8 = 2 2 2.

So we get the least common multiple of 7 and 8 = 7 2 2 2 = 56.

The least common multiple is the smallest common multiple other than 0, and the least common multiple of 8 and 7 is 56.

Multiples common to two or more integers are called their common multiples. There are generally two ways to solve the least common multiple. One is the method of decomposing prime factors, which first decomposes the prime factors of the required number balance, and then multiplies all their common prime factors with the unique prime factors, and the resulting product is their least common multiple.

The other is the formula method, because the product of the number sought is equal to the product of the greatest common divisor of the number sought and the product of the least common multiple. Therefore, the least common multiple of the numbers to be found can be found by finding their greatest common divisor, and then finding their least common multiple.

To sum up, when the greatest common factor of several numbers is only 1, their least common multiple is equal to their own product, so the least common multiple of 8 and 7 is 56.

Dong Meng 1 1 1 1

Therefore, the least common multiple of 7 and 8 and 8 and grinding 7 is 7 8 1 1 1 1 = 56, and this kind of question is done in this way.

5, 8, and 7 are prime numbers for each other.

So the least common multiple = 5 * 7 * 8 = 280