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LCM of 381, 668, 394, 826

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


Find the LCM of 381, 668, 394, 826 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 381, 668, 394, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,668,394,826

Given numbers are 381,668,394,826

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

The LCM of 381,668,394,826 is 20707025388.

Find LCM of 381,668,394,826 with Prime Factorization


2 381, 668, 394, 826
381, 334, 197, 413

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

2 x 381 x 334 x 197 x 413 = 20707025388

Therefore, the lowest common multiple of 381,668,394,826 is 20707025388.

LCM Formula to Find Lowest Common Multiple of 381,668,394,826

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.

381 x 668 x 394 x 826 = 82828101552

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.

381 : 1, 3, 127, 381

668 : 1, 2, 4, 167, 334, 668

394 : 1, 2, 197, 394

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,668,394,826, is 1.

Now, the common factors can be found like this.

381:3x 127

668:2x 2x 167

394:2x 197

826:2x 7x 59

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 = 82828101552/(1x4)

LCM = 82828101552/4

LCM = 20707025388

Thus, we can understand that the LCM of 381,668,394,826 is 20707025388.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 668, 394, 826

1. What is the LCM of 381, 668, 394, 826?

Answer: LCM of 381, 668, 394, 826 is 20707025388.

2. How to calculate the LCM of 381, 668, 394, 826?

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 381, 668, 394, 826.

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}.