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LCM of 401, 849, 957, 257, 925

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


Find the LCM of 401, 849, 957, 257, 925 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 401, 849, 957, 257, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 401,849,957,257,925

Given numbers are 401,849,957,257,925

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

The LCM of 401,849,957,257,925 is 25817703089475.

Find LCM of 401,849,957,257,925 with Prime Factorization


3 401, 849, 957, 257, 925
401, 283, 319, 257, 925

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

3 x 401 x 283 x 319 x 257 x 925 = 25817703089475

Therefore, the lowest common multiple of 401,849,957,257,925 is 25817703089475.

LCM Formula to Find Lowest Common Multiple of 401,849,957,257,925

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.

401 x 849 x 957 x 257 x 925 = 77453109268425

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.

401 : 1, 401

849 : 1, 3, 283, 849

957 : 1, 3, 11, 29, 33, 87, 319, 957

257 : 1, 257

925 : 1, 5, 25, 37, 185, 925

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,849,957,257,925, is 1.

Now, the common factors can be found like this.

401:401

849:3x 283

957:3x 11x 29

257:257

925:5x 5x 37

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 = 77453109268425/(1x3)

LCM = 77453109268425/3

LCM = 25817703089475

Thus, we can understand that the LCM of 401,849,957,257,925 is 25817703089475.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 401, 849, 957, 257, 925

1. What is the LCM of 401, 849, 957, 257, 925?

Answer: LCM of 401, 849, 957, 257, 925 is 25817703089475.

2. How to calculate the LCM of 401, 849, 957, 257, 925?

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 401, 849, 957, 257, 925.

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}.