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LCM of 958, 869, 706, 355, 639

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


Find the LCM of 958, 869, 706, 355, 639 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 958, 869, 706, 355, 639. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,869,706,355,639

Given numbers are 958,869,706,355,639

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

The LCM of 958,869,706,355,639 is 938924893170.

Find LCM of 958,869,706,355,639 with Prime Factorization


2 958, 869, 706, 355, 639
71 479, 869, 353, 355, 639
479, 869, 353, 5, 9

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

2 x 71 x 479 x 869 x 353 x 5 x 9 = 938924893170

Therefore, the lowest common multiple of 958,869,706,355,639 is 938924893170.

LCM Formula to Find Lowest Common Multiple of 958,869,706,355,639

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.

958 x 869 x 706 x 355 x 639 = 133327334830140

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.

958 : 1, 2, 479, 958

869 : 1, 11, 79, 869

706 : 1, 2, 353, 706

355 : 1, 5, 71, 355

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,869,706,355,639, is 1.

Now, the common factors can be found like this.

958:2x 479

869:11x 79

706:2x 353

355:5x 71

639:3x 3x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 133327334830140/(1x142)

LCM = 133327334830140/142

LCM = 938924893170

Thus, we can understand that the LCM of 958,869,706,355,639 is 938924893170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 869, 706, 355, 639

1. What is the LCM of 958, 869, 706, 355, 639?

Answer: LCM of 958, 869, 706, 355, 639 is 938924893170.

2. How to calculate the LCM of 958, 869, 706, 355, 639?

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 958, 869, 706, 355, 639.

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}.