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LCM of 814, 286, 104, 399

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


Find the LCM of 814, 286, 104, 399 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 814, 286, 104, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,286,104,399

Given numbers are 814,286,104,399

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

The LCM of 814,286,104,399 is 16888872.

Find LCM of 814,286,104,399 with Prime Factorization


2 814, 286, 104, 399
11 407, 143, 52, 399
13 37, 13, 52, 399
37, 1, 4, 399

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

2 x 11 x 13 x 37 x 1 x 4 x 399 = 16888872

Therefore, the lowest common multiple of 814,286,104,399 is 16888872.

LCM Formula to Find Lowest Common Multiple of 814,286,104,399

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.

814 x 286 x 104 x 399 = 9660434784

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.

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

104 : 1, 2, 4, 8, 13, 26, 52, 104

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,286,104,399, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

286:2x 11x 13

104:2x 2x 2x 13

399:3x 7x 19

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 11x 13 = 572

Therefore, the value for common factors is 572.

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 = 9660434784/(1x572)

LCM = 9660434784/572

LCM = 16888872

Thus, we can understand that the LCM of 814,286,104,399 is 16888872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 286, 104, 399

1. What is the LCM of 814, 286, 104, 399?

Answer: LCM of 814, 286, 104, 399 is 16888872.

2. How to calculate the LCM of 814, 286, 104, 399?

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 814, 286, 104, 399.

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}.