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LCM of 431, 428, 856, 512, 791

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


Find the LCM of 431, 428, 856, 512, 791 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 431, 428, 856, 512, 791. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,428,856,512,791

Given numbers are 431,428,856,512,791

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

The LCM of 431,428,856,512,791 is 18677016064.

Find LCM of 431,428,856,512,791 with Prime Factorization


2 431, 428, 856, 512, 791
2 431, 214, 428, 256, 791
2 431, 107, 214, 128, 791
107 431, 107, 107, 64, 791
431, 1, 1, 64, 791

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

2 x 2 x 2 x 107 x 431 x 1 x 1 x 64 x 791 = 18677016064

Therefore, the lowest common multiple of 431,428,856,512,791 is 18677016064.

LCM Formula to Find Lowest Common Multiple of 431,428,856,512,791

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.

431 x 428 x 856 x 512 x 791 = 63950103003136

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.

431 : 1, 431

428 : 1, 2, 4, 107, 214, 428

856 : 1, 2, 4, 8, 107, 214, 428, 856

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,428,856,512,791, is 1.

Now, the common factors can be found like this.

431:431

428:2x 2x 107

856:2x 2x 2x 107

512:2x 2x 2x 2x 2x 2x 2x 2x 2

791:7x 113

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 2x 2x 107 = 3424

Therefore, the value for common factors is 3424.

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 = 63950103003136/(1x3424)

LCM = 63950103003136/3424

LCM = 18677016064

Thus, we can understand that the LCM of 431,428,856,512,791 is 18677016064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 428, 856, 512, 791

1. What is the LCM of 431, 428, 856, 512, 791?

Answer: LCM of 431, 428, 856, 512, 791 is 18677016064.

2. How to calculate the LCM of 431, 428, 856, 512, 791?

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 431, 428, 856, 512, 791.

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}.