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LCM of 910, 793, 494, 348

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


Find the LCM of 910, 793, 494, 348 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 910, 793, 494, 348. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,793,494,348

Given numbers are 910,793,494,348

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

The LCM of 910,793,494,348 is 183516060.

Find LCM of 910,793,494,348 with Prime Factorization


2 910, 793, 494, 348
13 455, 793, 247, 174
35, 61, 19, 174

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

2 x 13 x 35 x 61 x 19 x 174 = 183516060

Therefore, the lowest common multiple of 910,793,494,348 is 183516060.

LCM Formula to Find Lowest Common Multiple of 910,793,494,348

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.

910 x 793 x 494 x 348 = 124056856560

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

793 : 1, 13, 61, 793

494 : 1, 2, 13, 19, 26, 38, 247, 494

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,793,494,348, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

793:13x 61

494:2x 13x 19

348:2x 2x 3x 29

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

2x 2x 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 124056856560/(1x676)

LCM = 124056856560/676

LCM = 183516060

Thus, we can understand that the LCM of 910,793,494,348 is 183516060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 793, 494, 348

1. What is the LCM of 910, 793, 494, 348?

Answer: LCM of 910, 793, 494, 348 is 183516060.

2. How to calculate the LCM of 910, 793, 494, 348?

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 910, 793, 494, 348.

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}.