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LCM of 520, 766, 574, 997

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


Find the LCM of 520, 766, 574, 997 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 520, 766, 574, 997. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,766,574,997

Given numbers are 520,766,574,997

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

The LCM of 520,766,574,997 is 56987443240.

Find LCM of 520,766,574,997 with Prime Factorization


2 520, 766, 574, 997
260, 383, 287, 997

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

2 x 260 x 383 x 287 x 997 = 56987443240

Therefore, the lowest common multiple of 520,766,574,997 is 56987443240.

LCM Formula to Find Lowest Common Multiple of 520,766,574,997

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.

520 x 766 x 574 x 997 = 227949772960

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

766 : 1, 2, 383, 766

574 : 1, 2, 7, 14, 41, 82, 287, 574

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,766,574,997, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

766:2x 383

574:2x 7x 41

997:997

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 227949772960/(1x4)

LCM = 227949772960/4

LCM = 56987443240

Thus, we can understand that the LCM of 520,766,574,997 is 56987443240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 766, 574, 997

1. What is the LCM of 520, 766, 574, 997?

Answer: LCM of 520, 766, 574, 997 is 56987443240.

2. How to calculate the LCM of 520, 766, 574, 997?

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 520, 766, 574, 997.

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}.