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LCM of 358, 355, 241, 923, 481

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


Find the LCM of 358, 355, 241, 923, 481 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 358, 355, 241, 923, 481. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,355,241,923,481

Given numbers are 358,355,241,923,481

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

The LCM of 358,355,241,923,481 is 14732399890.

Find LCM of 358,355,241,923,481 with Prime Factorization


13 358, 355, 241, 923, 481
71 358, 355, 241, 71, 37
358, 5, 241, 1, 37

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

13 x 71 x 358 x 5 x 241 x 1 x 37 = 14732399890

Therefore, the lowest common multiple of 358,355,241,923,481 is 14732399890.

LCM Formula to Find Lowest Common Multiple of 358,355,241,923,481

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.

358 x 355 x 241 x 923 x 481 = 13598005098470

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.

358 : 1, 2, 179, 358

355 : 1, 5, 71, 355

241 : 1, 241

923 : 1, 13, 71, 923

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,355,241,923,481, is 1.

Now, the common factors can be found like this.

358:2x 179

355:5x 71

241:241

923:13x 71

481:13x 37

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

13x 71 = 923

Therefore, the value for common factors is 923.

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 = 13598005098470/(1x923)

LCM = 13598005098470/923

LCM = 14732399890

Thus, we can understand that the LCM of 358,355,241,923,481 is 14732399890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 355, 241, 923, 481

1. What is the LCM of 358, 355, 241, 923, 481?

Answer: LCM of 358, 355, 241, 923, 481 is 14732399890.

2. How to calculate the LCM of 358, 355, 241, 923, 481?

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 358, 355, 241, 923, 481.

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}.