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LCM of 758, 293, 137, 656, 928

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


Find the LCM of 758, 293, 137, 656, 928 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 758, 293, 137, 656, 928. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 758,293,137,656,928

Given numbers are 758,293,137,656,928

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

The LCM of 758,293,137,656,928 is 578840927072.

Find LCM of 758,293,137,656,928 with Prime Factorization


2 758, 293, 137, 656, 928
2 379, 293, 137, 328, 464
2 379, 293, 137, 164, 232
2 379, 293, 137, 82, 116
379, 293, 137, 41, 58

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

2 x 2 x 2 x 2 x 379 x 293 x 137 x 41 x 58 = 578840927072

Therefore, the lowest common multiple of 758,293,137,656,928 is 578840927072.

LCM Formula to Find Lowest Common Multiple of 758,293,137,656,928

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.

758 x 293 x 137 x 656 x 928 = 18522909666304

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.

758 : 1, 2, 379, 758

293 : 1, 293

137 : 1, 137

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,293,137,656,928, is 1.

Now, the common factors can be found like this.

758:2x 379

293:293

137:137

656:2x 2x 2x 2x 41

928:2x 2x 2x 2x 2x 29

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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 18522909666304/(1x32)

LCM = 18522909666304/32

LCM = 578840927072

Thus, we can understand that the LCM of 758,293,137,656,928 is 578840927072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 758, 293, 137, 656, 928

1. What is the LCM of 758, 293, 137, 656, 928?

Answer: LCM of 758, 293, 137, 656, 928 is 578840927072.

2. How to calculate the LCM of 758, 293, 137, 656, 928?

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 758, 293, 137, 656, 928.

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}.