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LCM of 571, 958, 343, 512, 793

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


Find the LCM of 571, 958, 343, 512, 793 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 571, 958, 343, 512, 793. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,958,343,512,793

Given numbers are 571,958,343,512,793

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

The LCM of 571,958,343,512,793 is 38089817339392.

Find LCM of 571,958,343,512,793 with Prime Factorization


2 571, 958, 343, 512, 793
571, 479, 343, 256, 793

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

2 x 571 x 479 x 343 x 256 x 793 = 38089817339392

Therefore, the lowest common multiple of 571,958,343,512,793 is 38089817339392.

LCM Formula to Find Lowest Common Multiple of 571,958,343,512,793

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.

571 x 958 x 343 x 512 x 793 = 76179634678784

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.

571 : 1, 571

958 : 1, 2, 479, 958

343 : 1, 7, 49, 343

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

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,958,343,512,793, is 1.

Now, the common factors can be found like this.

571:571

958:2x 479

343:7x 7x 7

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

793:13x 61

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

2 = 2

Therefore, the value for common factors is 2.

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 = 76179634678784/(1x2)

LCM = 76179634678784/2

LCM = 38089817339392

Thus, we can understand that the LCM of 571,958,343,512,793 is 38089817339392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 958, 343, 512, 793

1. What is the LCM of 571, 958, 343, 512, 793?

Answer: LCM of 571, 958, 343, 512, 793 is 38089817339392.

2. How to calculate the LCM of 571, 958, 343, 512, 793?

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 571, 958, 343, 512, 793.

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}.