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LCM of 393, 124, 634, 814

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


Find the LCM of 393, 124, 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 393, 124, 634, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 393,124,634,814

Given numbers are 393,124,634,814

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

The LCM of 393,124,634,814 is 6287353908.

Find LCM of 393,124,634,814 with Prime Factorization


2 393, 124, 634, 814
393, 62, 317, 407

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

2 x 393 x 62 x 317 x 407 = 6287353908

Therefore, the lowest common multiple of 393,124,634,814 is 6287353908.

LCM Formula to Find Lowest Common Multiple of 393,124,634,814

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.

393 x 124 x 634 x 814 = 25149415632

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.

393 : 1, 3, 131, 393

124 : 1, 2, 4, 31, 62, 124

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 393,124,634,814, is 1.

Now, the common factors can be found like this.

393:3x 131

124:2x 2x 31

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 = 25149415632/(1x4)

LCM = 25149415632/4

LCM = 6287353908

Thus, we can understand that the LCM of 393,124,634,814 is 6287353908.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 393, 124, 634, 814

1. What is the LCM of 393, 124, 634, 814?

Answer: LCM of 393, 124, 634, 814 is 6287353908.

2. How to calculate the LCM of 393, 124, 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 393, 124, 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}.