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LCM of 855, 720, 130, 395

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


Find the LCM of 855, 720, 130, 395 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 855, 720, 130, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 855,720,130,395

Given numbers are 855,720,130,395

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

The LCM of 855,720,130,395 is 14049360.

Find LCM of 855,720,130,395 with Prime Factorization


2 855, 720, 130, 395
3 855, 360, 65, 395
3 285, 120, 65, 395
5 95, 40, 65, 395
19, 8, 13, 79

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

2 x 3 x 3 x 5 x 19 x 8 x 13 x 79 = 14049360

Therefore, the lowest common multiple of 855,720,130,395 is 14049360.

LCM Formula to Find Lowest Common Multiple of 855,720,130,395

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.

855 x 720 x 130 x 395 = 31611060000

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

395 : 1, 5, 79, 395

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,720,130,395, is 5.

Now, the common factors can be found like this.

855:3x 3x 5x 19

720:2x 2x 2x 2x 3x 3x 5

130:2x 5x 13

395:5x 79

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 31611060000/(5x450)

LCM = 31611060000/2250

LCM = 14049360

Thus, we can understand that the LCM of 855,720,130,395 is 14049360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 855, 720, 130, 395

1. What is the LCM of 855, 720, 130, 395?

Answer: LCM of 855, 720, 130, 395 is 14049360.

2. How to calculate the LCM of 855, 720, 130, 395?

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 855, 720, 130, 395.

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}.