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LCM of 931, 788, 278, 423, 317

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


Find the LCM of 931, 788, 278, 423, 317 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 931, 788, 278, 423, 317. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 931,788,278,423,317

Given numbers are 931,788,278,423,317

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

The LCM of 931,788,278,423,317 is 13673834788572.

Find LCM of 931,788,278,423,317 with Prime Factorization


2 931, 788, 278, 423, 317
931, 394, 139, 423, 317

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

2 x 931 x 394 x 139 x 423 x 317 = 13673834788572

Therefore, the lowest common multiple of 931,788,278,423,317 is 13673834788572.

LCM Formula to Find Lowest Common Multiple of 931,788,278,423,317

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.

931 x 788 x 278 x 423 x 317 = 27347669577144

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.

931 : 1, 7, 19, 49, 133, 931

788 : 1, 2, 4, 197, 394, 788

278 : 1, 2, 139, 278

423 : 1, 3, 9, 47, 141, 423

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,788,278,423,317, is 1.

Now, the common factors can be found like this.

931:7x 7x 19

788:2x 2x 197

278:2x 139

423:3x 3x 47

317:317

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

2 = 2

Therefore, the value for common factors is 2.

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 = 27347669577144/(1x2)

LCM = 27347669577144/2

LCM = 13673834788572

Thus, we can understand that the LCM of 931,788,278,423,317 is 13673834788572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 931, 788, 278, 423, 317

1. What is the LCM of 931, 788, 278, 423, 317?

Answer: LCM of 931, 788, 278, 423, 317 is 13673834788572.

2. How to calculate the LCM of 931, 788, 278, 423, 317?

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 931, 788, 278, 423, 317.

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}.