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LCM of 381, 155, 130, 897, 439

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


Find the LCM of 381, 155, 130, 897, 439 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, 155, 130, 897, 439. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,155,130,897,439

Given numbers are 381,155,130,897,439

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

The LCM of 381,155,130,897,439 is 15503236710.

Find LCM of 381,155,130,897,439 with Prime Factorization


3 381, 155, 130, 897, 439
5 127, 155, 130, 299, 439
13 127, 31, 26, 299, 439
127, 31, 2, 23, 439

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

3 x 5 x 13 x 127 x 31 x 2 x 23 x 439 = 15503236710

Therefore, the lowest common multiple of 381,155,130,897,439 is 15503236710.

LCM Formula to Find Lowest Common Multiple of 381,155,130,897,439

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 155 x 130 x 897 x 439 = 3023131158450

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

155 : 1, 5, 31, 155

130 : 1, 2, 5, 10, 13, 26, 65, 130

897 : 1, 3, 13, 23, 39, 69, 299, 897

439 : 1, 439

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,155,130,897,439, is 1.

Now, the common factors can be found like this.

381:3x 127

155:5x 31

130:2x 5x 13

897:3x 13x 23

439:439

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

3x 5x 13 = 195

Therefore, the value for common factors is 195.

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 = 3023131158450/(1x195)

LCM = 3023131158450/195

LCM = 15503236710

Thus, we can understand that the LCM of 381,155,130,897,439 is 15503236710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 155, 130, 897, 439

1. What is the LCM of 381, 155, 130, 897, 439?

Answer: LCM of 381, 155, 130, 897, 439 is 15503236710.

2. How to calculate the LCM of 381, 155, 130, 897, 439?

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, 155, 130, 897, 439.

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}.