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LCM of 363, 914, 873, 705, 876

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


Find the LCM of 363, 914, 873, 705, 876 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 363, 914, 873, 705, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,914,873,705,876

Given numbers are 363,914,873,705,876

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

The LCM of 363,914,873,705,876 is 3312581162220.

Find LCM of 363,914,873,705,876 with Prime Factorization


2 363, 914, 873, 705, 876
3 363, 457, 873, 705, 438
121, 457, 291, 235, 146

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

2 x 3 x 121 x 457 x 291 x 235 x 146 = 3312581162220

Therefore, the lowest common multiple of 363,914,873,705,876 is 3312581162220.

LCM Formula to Find Lowest Common Multiple of 363,914,873,705,876

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.

363 x 914 x 873 x 705 x 876 = 178879382759880

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.

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

914 : 1, 2, 457, 914

873 : 1, 3, 9, 97, 291, 873

705 : 1, 3, 5, 15, 47, 141, 235, 705

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,914,873,705,876, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

914:2x 457

873:3x 3x 97

705:3x 5x 47

876:2x 2x 3x 73

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 178879382759880/(1x54)

LCM = 178879382759880/54

LCM = 3312581162220

Thus, we can understand that the LCM of 363,914,873,705,876 is 3312581162220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 914, 873, 705, 876

1. What is the LCM of 363, 914, 873, 705, 876?

Answer: LCM of 363, 914, 873, 705, 876 is 3312581162220.

2. How to calculate the LCM of 363, 914, 873, 705, 876?

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 363, 914, 873, 705, 876.

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}.