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LCM of 130, 866, 872, 831

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


Find the LCM of 130, 866, 872, 831 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 130, 866, 872, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,866,872,831

Given numbers are 130,866,872,831

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

The LCM of 130,866,872,831 is 20394767640.

Find LCM of 130,866,872,831 with Prime Factorization


2 130, 866, 872, 831
65, 433, 436, 831

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

2 x 65 x 433 x 436 x 831 = 20394767640

Therefore, the lowest common multiple of 130,866,872,831 is 20394767640.

LCM Formula to Find Lowest Common Multiple of 130,866,872,831

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.

130 x 866 x 872 x 831 = 81579070560

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.

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

866 : 1, 2, 433, 866

872 : 1, 2, 4, 8, 109, 218, 436, 872

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,866,872,831, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

866:2x 433

872:2x 2x 2x 109

831:3x 277

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 = 81579070560/(1x4)

LCM = 81579070560/4

LCM = 20394767640

Thus, we can understand that the LCM of 130,866,872,831 is 20394767640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 866, 872, 831

1. What is the LCM of 130, 866, 872, 831?

Answer: LCM of 130, 866, 872, 831 is 20394767640.

2. How to calculate the LCM of 130, 866, 872, 831?

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 130, 866, 872, 831.

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}.