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LCM of 587, 214, 321, 867, 572

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


Find the LCM of 587, 214, 321, 867, 572 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 587, 214, 321, 867, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 587,214,321,867,572

Given numbers are 587,214,321,867,572

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

The LCM of 587,214,321,867,572 is 31148490516.

Find LCM of 587,214,321,867,572 with Prime Factorization


2 587, 214, 321, 867, 572
3 587, 107, 321, 867, 286
107 587, 107, 107, 289, 286
587, 1, 1, 289, 286

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

2 x 3 x 107 x 587 x 1 x 1 x 289 x 286 = 31148490516

Therefore, the lowest common multiple of 587,214,321,867,572 is 31148490516.

LCM Formula to Find Lowest Common Multiple of 587,214,321,867,572

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.

587 x 214 x 321 x 867 x 572 = 19997330911272

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.

587 : 1, 587

214 : 1, 2, 107, 214

321 : 1, 3, 107, 321

867 : 1, 3, 17, 51, 289, 867

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,214,321,867,572, is 1.

Now, the common factors can be found like this.

587:587

214:2x 107

321:3x 107

867:3x 17x 17

572:2x 2x 11x 13

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

2x 3x 107 = 642

Therefore, the value for common factors is 642.

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 = 19997330911272/(1x642)

LCM = 19997330911272/642

LCM = 31148490516

Thus, we can understand that the LCM of 587,214,321,867,572 is 31148490516.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 587, 214, 321, 867, 572

1. What is the LCM of 587, 214, 321, 867, 572?

Answer: LCM of 587, 214, 321, 867, 572 is 31148490516.

2. How to calculate the LCM of 587, 214, 321, 867, 572?

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 587, 214, 321, 867, 572.

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}.