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LCM of 813, 678, 191, 961, 751

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


Find the LCM of 813, 678, 191, 961, 751 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 813, 678, 191, 961, 751. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,678,191,961,751

Given numbers are 813,678,191,961,751

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

The LCM of 813,678,191,961,751 is 25327695522138.

Find LCM of 813,678,191,961,751 with Prime Factorization


3 813, 678, 191, 961, 751
271, 226, 191, 961, 751

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

3 x 271 x 226 x 191 x 961 x 751 = 25327695522138

Therefore, the lowest common multiple of 813,678,191,961,751 is 25327695522138.

LCM Formula to Find Lowest Common Multiple of 813,678,191,961,751

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.

813 x 678 x 191 x 961 x 751 = 75983086566414

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.

813 : 1, 3, 271, 813

678 : 1, 2, 3, 6, 113, 226, 339, 678

191 : 1, 191

961 : 1, 31, 961

751 : 1, 751

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,678,191,961,751, is 1.

Now, the common factors can be found like this.

813:3x 271

678:2x 3x 113

191:191

961:31x 31

751:751

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

3 = 3

Therefore, the value for common factors is 3.

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 = 75983086566414/(1x3)

LCM = 75983086566414/3

LCM = 25327695522138

Thus, we can understand that the LCM of 813,678,191,961,751 is 25327695522138.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 678, 191, 961, 751

1. What is the LCM of 813, 678, 191, 961, 751?

Answer: LCM of 813, 678, 191, 961, 751 is 25327695522138.

2. How to calculate the LCM of 813, 678, 191, 961, 751?

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 813, 678, 191, 961, 751.

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}.