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LCM of 589, 361, 279, 853

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


Find the LCM of 589, 361, 279, 853 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 589, 361, 279, 853. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,361,279,853

Given numbers are 589,361,279,853

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

The LCM of 589,361,279,853 is 85913307.

Find LCM of 589,361,279,853 with Prime Factorization


19 589, 361, 279, 853
31 31, 19, 279, 853
1, 19, 9, 853

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

19 x 31 x 1 x 19 x 9 x 853 = 85913307

Therefore, the lowest common multiple of 589,361,279,853 is 85913307.

LCM Formula to Find Lowest Common Multiple of 589,361,279,853

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.

589 x 361 x 279 x 853 = 50602937823

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.

589 : 1, 19, 31, 589

361 : 1, 19, 361

279 : 1, 3, 9, 31, 93, 279

853 : 1, 853

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,361,279,853, is 1.

Now, the common factors can be found like this.

589:19x 31

361:19x 19

279:3x 3x 31

853:853

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

19x 31 = 589

Therefore, the value for common factors is 589.

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 = 50602937823/(1x589)

LCM = 50602937823/589

LCM = 85913307

Thus, we can understand that the LCM of 589,361,279,853 is 85913307.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 361, 279, 853

1. What is the LCM of 589, 361, 279, 853?

Answer: LCM of 589, 361, 279, 853 is 85913307.

2. How to calculate the LCM of 589, 361, 279, 853?

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 589, 361, 279, 853.

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}.