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LCM of 117, 116, 583, 530, 898

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


Find the LCM of 117, 116, 583, 530, 898 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 117, 116, 583, 530, 898. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 117,116,583,530,898

Given numbers are 117,116,583,530,898

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

The LCM of 117,116,583,530,898 is 17763508620.

Find LCM of 117,116,583,530,898 with Prime Factorization


2 117, 116, 583, 530, 898
53 117, 58, 583, 265, 449
117, 58, 11, 5, 449

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

2 x 53 x 117 x 58 x 11 x 5 x 449 = 17763508620

Therefore, the lowest common multiple of 117,116,583,530,898 is 17763508620.

LCM Formula to Find Lowest Common Multiple of 117,116,583,530,898

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.

117 x 116 x 583 x 530 x 898 = 3765863827440

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.

117 : 1, 3, 9, 13, 39, 117

116 : 1, 2, 4, 29, 58, 116

583 : 1, 11, 53, 583

530 : 1, 2, 5, 10, 53, 106, 265, 530

898 : 1, 2, 449, 898

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,116,583,530,898, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

116:2x 2x 29

583:11x 53

530:2x 5x 53

898:2x 449

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 53 = 212

Therefore, the value for common factors is 212.

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 = 3765863827440/(1x212)

LCM = 3765863827440/212

LCM = 17763508620

Thus, we can understand that the LCM of 117,116,583,530,898 is 17763508620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 117, 116, 583, 530, 898

1. What is the LCM of 117, 116, 583, 530, 898?

Answer: LCM of 117, 116, 583, 530, 898 is 17763508620.

2. How to calculate the LCM of 117, 116, 583, 530, 898?

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 117, 116, 583, 530, 898.

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}.