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LCM of 130, 381, 637, 451

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


Find the LCM of 130, 381, 637, 451 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, 381, 637, 451. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,381,637,451

Given numbers are 130,381,637,451

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

The LCM of 130,381,637,451 is 1094563470.

Find LCM of 130,381,637,451 with Prime Factorization


13 130, 381, 637, 451
10, 381, 49, 451

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

13 x 10 x 381 x 49 x 451 = 1094563470

Therefore, the lowest common multiple of 130,381,637,451 is 1094563470.

LCM Formula to Find Lowest Common Multiple of 130,381,637,451

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 381 x 637 x 451 = 14229325110

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

381 : 1, 3, 127, 381

637 : 1, 7, 13, 49, 91, 637

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,381,637,451, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

381:3x 127

637:7x 7x 13

451:11x 41

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

13 = 13

Therefore, the value for common factors is 13.

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 = 14229325110/(1x13)

LCM = 14229325110/13

LCM = 1094563470

Thus, we can understand that the LCM of 130,381,637,451 is 1094563470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 381, 637, 451

1. What is the LCM of 130, 381, 637, 451?

Answer: LCM of 130, 381, 637, 451 is 1094563470.

2. How to calculate the LCM of 130, 381, 637, 451?

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, 381, 637, 451.

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}.