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LCM of 871, 323, 534, 221, 580

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


Find the LCM of 871, 323, 534, 221, 580 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 871, 323, 534, 221, 580. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,323,534,221,580

Given numbers are 871,323,534,221,580

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

The LCM of 871,323,534,221,580 is 43567228380.

Find LCM of 871,323,534,221,580 with Prime Factorization


2 871, 323, 534, 221, 580
13 871, 323, 267, 221, 290
17 67, 323, 267, 17, 290
67, 19, 267, 1, 290

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

2 x 13 x 17 x 67 x 19 x 267 x 1 x 290 = 43567228380

Therefore, the lowest common multiple of 871,323,534,221,580 is 43567228380.

LCM Formula to Find Lowest Common Multiple of 871,323,534,221,580

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.

871 x 323 x 534 x 221 x 580 = 19256714943960

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.

871 : 1, 13, 67, 871

323 : 1, 17, 19, 323

534 : 1, 2, 3, 6, 89, 178, 267, 534

221 : 1, 13, 17, 221

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,323,534,221,580, is 1.

Now, the common factors can be found like this.

871:13x 67

323:17x 19

534:2x 3x 89

221:13x 17

580:2x 2x 5x 29

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 19256714943960/(1x442)

LCM = 19256714943960/442

LCM = 43567228380

Thus, we can understand that the LCM of 871,323,534,221,580 is 43567228380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 323, 534, 221, 580

1. What is the LCM of 871, 323, 534, 221, 580?

Answer: LCM of 871, 323, 534, 221, 580 is 43567228380.

2. How to calculate the LCM of 871, 323, 534, 221, 580?

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 871, 323, 534, 221, 580.

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}.