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LCM of 934, 431, 278, 331, 417

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


Find the LCM of 934, 431, 278, 331, 417 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 934, 431, 278, 331, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 934,431,278,331,417

Given numbers are 934,431,278,331,417

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

The LCM of 934,431,278,331,417 is 55563320958.

Find LCM of 934,431,278,331,417 with Prime Factorization


2 934, 431, 278, 331, 417
139 467, 431, 139, 331, 417
467, 431, 1, 331, 3

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

2 x 139 x 467 x 431 x 1 x 331 x 3 = 55563320958

Therefore, the lowest common multiple of 934,431,278,331,417 is 55563320958.

LCM Formula to Find Lowest Common Multiple of 934,431,278,331,417

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.

934 x 431 x 278 x 331 x 417 = 15446603226324

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.

934 : 1, 2, 467, 934

431 : 1, 431

278 : 1, 2, 139, 278

331 : 1, 331

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,431,278,331,417, is 1.

Now, the common factors can be found like this.

934:2x 467

431:431

278:2x 139

331:331

417:3x 139

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

2x 139 = 278

Therefore, the value for common factors is 278.

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 = 15446603226324/(1x278)

LCM = 15446603226324/278

LCM = 55563320958

Thus, we can understand that the LCM of 934,431,278,331,417 is 55563320958.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 934, 431, 278, 331, 417

1. What is the LCM of 934, 431, 278, 331, 417?

Answer: LCM of 934, 431, 278, 331, 417 is 55563320958.

2. How to calculate the LCM of 934, 431, 278, 331, 417?

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 934, 431, 278, 331, 417.

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}.