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LCM of 514, 535, 872, 570

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


Find the LCM of 514, 535, 872, 570 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 514, 535, 872, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,535,872,570

Given numbers are 514,535,872,570

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

The LCM of 514,535,872,570 is 6834051480.

Find LCM of 514,535,872,570 with Prime Factorization


2 514, 535, 872, 570
5 257, 535, 436, 285
257, 107, 436, 57

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

2 x 5 x 257 x 107 x 436 x 57 = 6834051480

Therefore, the lowest common multiple of 514,535,872,570 is 6834051480.

LCM Formula to Find Lowest Common Multiple of 514,535,872,570

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.

514 x 535 x 872 x 570 = 136681029600

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.

514 : 1, 2, 257, 514

535 : 1, 5, 107, 535

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

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,535,872,570, is 1.

Now, the common factors can be found like this.

514:2x 257

535:5x 107

872:2x 2x 2x 109

570:2x 3x 5x 19

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 5 = 20

Therefore, the value for common factors is 20.

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 = 136681029600/(1x20)

LCM = 136681029600/20

LCM = 6834051480

Thus, we can understand that the LCM of 514,535,872,570 is 6834051480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 535, 872, 570

1. What is the LCM of 514, 535, 872, 570?

Answer: LCM of 514, 535, 872, 570 is 6834051480.

2. How to calculate the LCM of 514, 535, 872, 570?

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 514, 535, 872, 570.

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}.