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LCM of 845, 317, 845, 259

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


Find the LCM of 845, 317, 845, 259 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 845, 317, 845, 259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,317,845,259

Given numbers are 845,317,845,259

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

The LCM of 845,317,845,259 is 69377035.

Find LCM of 845,317,845,259 with Prime Factorization


5 845, 317, 845, 259
13 169, 317, 169, 259
13 13, 317, 13, 259
1, 317, 1, 259

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

5 x 13 x 13 x 1 x 317 x 1 x 259 = 69377035

Therefore, the lowest common multiple of 845,317,845,259 is 69377035.

LCM Formula to Find Lowest Common Multiple of 845,317,845,259

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.

845 x 317 x 845 x 259 = 58623594575

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.

845 : 1, 5, 13, 65, 169, 845

317 : 1, 317

845 : 1, 5, 13, 65, 169, 845

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,317,845,259, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

317:317

845:5x 13x 13

259:7x 37

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

5x 13x 13 = 845

Therefore, the value for common factors is 845.

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 = 58623594575/(1x845)

LCM = 58623594575/845

LCM = 69377035

Thus, we can understand that the LCM of 845,317,845,259 is 69377035.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 317, 845, 259

1. What is the LCM of 845, 317, 845, 259?

Answer: LCM of 845, 317, 845, 259 is 69377035.

2. How to calculate the LCM of 845, 317, 845, 259?

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 845, 317, 845, 259.

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}.