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LCM of 131, 940, 869, 395

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


Find the LCM of 131, 940, 869, 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 131, 940, 869, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 131,940,869,395

Given numbers are 131,940,869,395

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

The LCM of 131,940,869,395 is 107008660.

Find LCM of 131,940,869,395 with Prime Factorization


5 131, 940, 869, 395
79 131, 188, 869, 79
131, 188, 11, 1

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

5 x 79 x 131 x 188 x 11 x 1 = 107008660

Therefore, the lowest common multiple of 131,940,869,395 is 107008660.

LCM Formula to Find Lowest Common Multiple of 131,940,869,395

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.

131 x 940 x 869 x 395 = 42268420700

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.

131 : 1, 131

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

869 : 1, 11, 79, 869

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,940,869,395, is 1.

Now, the common factors can be found like this.

131:131

940:2x 2x 5x 47

869:11x 79

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.

5x 79 = 395

Therefore, the value for common factors is 395.

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 = 42268420700/(1x395)

LCM = 42268420700/395

LCM = 107008660

Thus, we can understand that the LCM of 131,940,869,395 is 107008660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 131, 940, 869, 395

1. What is the LCM of 131, 940, 869, 395?

Answer: LCM of 131, 940, 869, 395 is 107008660.

2. How to calculate the LCM of 131, 940, 869, 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 131, 940, 869, 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}.