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LCM of 391, 759, 794, 230

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


Find the LCM of 391, 759, 794, 230 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 391, 759, 794, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,759,794,230

Given numbers are 391,759,794,230

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

The LCM of 391,759,794,230 is 51224910.

Find LCM of 391,759,794,230 with Prime Factorization


2 391, 759, 794, 230
23 391, 759, 397, 115
17, 33, 397, 5

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

2 x 23 x 17 x 33 x 397 x 5 = 51224910

Therefore, the lowest common multiple of 391,759,794,230 is 51224910.

LCM Formula to Find Lowest Common Multiple of 391,759,794,230

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.

391 x 759 x 794 x 230 = 54195954780

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.

391 : 1, 17, 23, 391

759 : 1, 3, 11, 23, 33, 69, 253, 759

794 : 1, 2, 397, 794

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,759,794,230, is 1.

Now, the common factors can be found like this.

391:17x 23

759:3x 11x 23

794:2x 397

230:2x 5x 23

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 54195954780/(1x1058)

LCM = 54195954780/1058

LCM = 51224910

Thus, we can understand that the LCM of 391,759,794,230 is 51224910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 759, 794, 230

1. What is the LCM of 391, 759, 794, 230?

Answer: LCM of 391, 759, 794, 230 is 51224910.

2. How to calculate the LCM of 391, 759, 794, 230?

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 391, 759, 794, 230.

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}.