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LCM of 520, 715, 898, 617

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


Find the LCM of 520, 715, 898, 617 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, 715, 898, 617. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,715,898,617

Given numbers are 520,715,898,617

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

The LCM of 520,715,898,617 is 1584628760.

Find LCM of 520,715,898,617 with Prime Factorization


2 520, 715, 898, 617
5 260, 715, 449, 617
13 52, 143, 449, 617
4, 11, 449, 617

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

2 x 5 x 13 x 4 x 11 x 449 x 617 = 1584628760

Therefore, the lowest common multiple of 520,715,898,617 is 1584628760.

LCM Formula to Find Lowest Common Multiple of 520,715,898,617

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 715 x 898 x 617 = 206001738800

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

898 : 1, 2, 449, 898

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,715,898,617, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

715:5x 11x 13

898:2x 449

617:617

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 206001738800/(1x130)

LCM = 206001738800/130

LCM = 1584628760

Thus, we can understand that the LCM of 520,715,898,617 is 1584628760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 715, 898, 617

1. What is the LCM of 520, 715, 898, 617?

Answer: LCM of 520, 715, 898, 617 is 1584628760.

2. How to calculate the LCM of 520, 715, 898, 617?

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, 715, 898, 617.

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}.