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LCM of 289, 363, 451, 813

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


Find the LCM of 289, 363, 451, 813 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 289, 363, 451, 813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,363,451,813

Given numbers are 289,363,451,813

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

The LCM of 289,363,451,813 is 1165621677.

Find LCM of 289,363,451,813 with Prime Factorization


3 289, 363, 451, 813
11 289, 121, 451, 271
289, 11, 41, 271

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

3 x 11 x 289 x 11 x 41 x 271 = 1165621677

Therefore, the lowest common multiple of 289,363,451,813 is 1165621677.

LCM Formula to Find Lowest Common Multiple of 289,363,451,813

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.

289 x 363 x 451 x 813 = 38465515341

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.

289 : 1, 17, 289

363 : 1, 3, 11, 33, 121, 363

451 : 1, 11, 41, 451

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,363,451,813, is 1.

Now, the common factors can be found like this.

289:17x 17

363:3x 11x 11

451:11x 41

813:3x 271

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 38465515341/(1x33)

LCM = 38465515341/33

LCM = 1165621677

Thus, we can understand that the LCM of 289,363,451,813 is 1165621677.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 363, 451, 813

1. What is the LCM of 289, 363, 451, 813?

Answer: LCM of 289, 363, 451, 813 is 1165621677.

2. How to calculate the LCM of 289, 363, 451, 813?

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 289, 363, 451, 813.

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}.