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LCM of 517, 668, 506, 581

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


Find the LCM of 517, 668, 506, 581 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 517, 668, 506, 581. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,668,506,581

Given numbers are 517,668,506,581

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

The LCM of 517,668,506,581 is 4614992228.

Find LCM of 517,668,506,581 with Prime Factorization


2 517, 668, 506, 581
11 517, 334, 253, 581
47, 334, 23, 581

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

2 x 11 x 47 x 334 x 23 x 581 = 4614992228

Therefore, the lowest common multiple of 517,668,506,581 is 4614992228.

LCM Formula to Find Lowest Common Multiple of 517,668,506,581

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.

517 x 668 x 506 x 581 = 101529829016

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.

517 : 1, 11, 47, 517

668 : 1, 2, 4, 167, 334, 668

506 : 1, 2, 11, 22, 23, 46, 253, 506

581 : 1, 7, 83, 581

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,668,506,581, is 1.

Now, the common factors can be found like this.

517:11x 47

668:2x 2x 167

506:2x 11x 23

581:7x 83

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 101529829016/(1x22)

LCM = 101529829016/22

LCM = 4614992228

Thus, we can understand that the LCM of 517,668,506,581 is 4614992228.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 668, 506, 581

1. What is the LCM of 517, 668, 506, 581?

Answer: LCM of 517, 668, 506, 581 is 4614992228.

2. How to calculate the LCM of 517, 668, 506, 581?

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 517, 668, 506, 581.

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}.