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LCM of 113, 596, 634, 814

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


Find the LCM of 113, 596, 634, 814 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 113, 596, 634, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 113,596,634,814

Given numbers are 113,596,634,814

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

The LCM of 113,596,634,814 is 8689171612.

Find LCM of 113,596,634,814 with Prime Factorization


2 113, 596, 634, 814
113, 298, 317, 407

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

2 x 113 x 298 x 317 x 407 = 8689171612

Therefore, the lowest common multiple of 113,596,634,814 is 8689171612.

LCM Formula to Find Lowest Common Multiple of 113,596,634,814

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.

113 x 596 x 634 x 814 = 34756686448

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.

113 : 1, 113

596 : 1, 2, 4, 149, 298, 596

634 : 1, 2, 317, 634

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,596,634,814, is 1.

Now, the common factors can be found like this.

113:113

596:2x 2x 149

634:2x 317

814:2x 11x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 34756686448/(1x4)

LCM = 34756686448/4

LCM = 8689171612

Thus, we can understand that the LCM of 113,596,634,814 is 8689171612.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 113, 596, 634, 814

1. What is the LCM of 113, 596, 634, 814?

Answer: LCM of 113, 596, 634, 814 is 8689171612.

2. How to calculate the LCM of 113, 596, 634, 814?

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 113, 596, 634, 814.

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}.