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LCM of 814, 436, 872, 143, 553

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


Find the LCM of 814, 436, 872, 143, 553 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 814, 436, 872, 143, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,436,872,143,553

Given numbers are 814,436,872,143,553

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

The LCM of 814,436,872,143,553 is 2551404856.

Find LCM of 814,436,872,143,553 with Prime Factorization


2 814, 436, 872, 143, 553
2 407, 218, 436, 143, 553
11 407, 109, 218, 143, 553
109 37, 109, 218, 13, 553
37, 1, 2, 13, 553

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

2 x 2 x 11 x 109 x 37 x 1 x 2 x 13 x 553 = 2551404856

Therefore, the lowest common multiple of 814,436,872,143,553 is 2551404856.

LCM Formula to Find Lowest Common Multiple of 814,436,872,143,553

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.

814 x 436 x 872 x 143 x 553 = 24473075378752

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

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

143 : 1, 11, 13, 143

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,436,872,143,553, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

436:2x 2x 109

872:2x 2x 2x 109

143:11x 13

553:7x 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 2x 2x 11x 109 = 9592

Therefore, the value for common factors is 9592.

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 = 24473075378752/(1x9592)

LCM = 24473075378752/9592

LCM = 2551404856

Thus, we can understand that the LCM of 814,436,872,143,553 is 2551404856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 436, 872, 143, 553

1. What is the LCM of 814, 436, 872, 143, 553?

Answer: LCM of 814, 436, 872, 143, 553 is 2551404856.

2. How to calculate the LCM of 814, 436, 872, 143, 553?

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 814, 436, 872, 143, 553.

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}.