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LCM of 958, 348, 293, 605, 389

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


Find the LCM of 958, 348, 293, 605, 389 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, 348, 293, 605, 389. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,348,293,605,389

Given numbers are 958,348,293,605,389

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

The LCM of 958,348,293,605,389 is 11494427720820.

Find LCM of 958,348,293,605,389 with Prime Factorization


2 958, 348, 293, 605, 389
479, 174, 293, 605, 389

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

2 x 479 x 174 x 293 x 605 x 389 = 11494427720820

Therefore, the lowest common multiple of 958,348,293,605,389 is 11494427720820.

LCM Formula to Find Lowest Common Multiple of 958,348,293,605,389

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 348 x 293 x 605 x 389 = 22988855441640

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

293 : 1, 293

605 : 1, 5, 11, 55, 121, 605

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,348,293,605,389, is 1.

Now, the common factors can be found like this.

958:2x 479

348:2x 2x 3x 29

293:293

605:5x 11x 11

389:389

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22988855441640/(1x2)

LCM = 22988855441640/2

LCM = 11494427720820

Thus, we can understand that the LCM of 958,348,293,605,389 is 11494427720820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 348, 293, 605, 389

1. What is the LCM of 958, 348, 293, 605, 389?

Answer: LCM of 958, 348, 293, 605, 389 is 11494427720820.

2. How to calculate the LCM of 958, 348, 293, 605, 389?

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, 348, 293, 605, 389.

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}.