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LCM of 827, 374, 347, 855, 589

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


Find the LCM of 827, 374, 347, 855, 589 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 827, 374, 347, 855, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,374,347,855,589

Given numbers are 827,374,347,855,589

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

The LCM of 827,374,347,855,589 is 2844686391030.

Find LCM of 827,374,347,855,589 with Prime Factorization


19 827, 374, 347, 855, 589
827, 374, 347, 45, 31

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

19 x 827 x 374 x 347 x 45 x 31 = 2844686391030

Therefore, the lowest common multiple of 827,374,347,855,589 is 2844686391030.

LCM Formula to Find Lowest Common Multiple of 827,374,347,855,589

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.

827 x 374 x 347 x 855 x 589 = 54049041429570

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.

827 : 1, 827

374 : 1, 2, 11, 17, 22, 34, 187, 374

347 : 1, 347

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,374,347,855,589, is 1.

Now, the common factors can be found like this.

827:827

374:2x 11x 17

347:347

855:3x 3x 5x 19

589:19x 31

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

19 = 19

Therefore, the value for common factors is 19.

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 = 54049041429570/(1x19)

LCM = 54049041429570/19

LCM = 2844686391030

Thus, we can understand that the LCM of 827,374,347,855,589 is 2844686391030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 374, 347, 855, 589

1. What is the LCM of 827, 374, 347, 855, 589?

Answer: LCM of 827, 374, 347, 855, 589 is 2844686391030.

2. How to calculate the LCM of 827, 374, 347, 855, 589?

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 827, 374, 347, 855, 589.

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}.