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LCM of 582, 307, 444, 431, 592

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 582, 307, 444, 431, 592 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 582, 307, 444, 431, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,307,444,431,592

Given numbers are 582,307,444,431,592

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 582,307,444,431,592 is 22794514224.

Find LCM of 582,307,444,431,592 with Prime Factorization


2 582, 307, 444, 431, 592
2 291, 307, 222, 431, 296
3 291, 307, 111, 431, 148
37 97, 307, 37, 431, 148
97, 307, 1, 431, 4

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 37 x 97 x 307 x 1 x 431 x 4 = 22794514224

Therefore, the lowest common multiple of 582,307,444,431,592 is 22794514224.

LCM Formula to Find Lowest Common Multiple of 582,307,444,431,592

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

582 x 307 x 444 x 431 x 592 = 20241528630912

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

582 : 1, 2, 3, 6, 97, 194, 291, 582

307 : 1, 307

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

431 : 1, 431

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,307,444,431,592, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

307:307

444:2x 2x 3x 37

431:431

592:2x 2x 2x 2x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 37 = 888

Therefore, the value for common factors is 888.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 20241528630912/(1x888)

LCM = 20241528630912/888

LCM = 22794514224

Thus, we can understand that the LCM of 582,307,444,431,592 is 22794514224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 582, 307, 444, 431, 592

1. What is the LCM of 582, 307, 444, 431, 592?

Answer: LCM of 582, 307, 444, 431, 592 is 22794514224.

2. How to calculate the LCM of 582, 307, 444, 431, 592?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 582, 307, 444, 431, 592.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.