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LCM of 539, 674, 820, 206, 271

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


Find the LCM of 539, 674, 820, 206, 271 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 539, 674, 820, 206, 271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 539,674,820,206,271

Given numbers are 539,674,820,206,271

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

The LCM of 539,674,820,206,271 is 4157564868380.

Find LCM of 539,674,820,206,271 with Prime Factorization


2 539, 674, 820, 206, 271
539, 337, 410, 103, 271

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

2 x 539 x 337 x 410 x 103 x 271 = 4157564868380

Therefore, the lowest common multiple of 539,674,820,206,271 is 4157564868380.

LCM Formula to Find Lowest Common Multiple of 539,674,820,206,271

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.

539 x 674 x 820 x 206 x 271 = 16630259473520

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.

539 : 1, 7, 11, 49, 77, 539

674 : 1, 2, 337, 674

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

206 : 1, 2, 103, 206

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,674,820,206,271, is 1.

Now, the common factors can be found like this.

539:7x 7x 11

674:2x 337

820:2x 2x 5x 41

206:2x 103

271:271

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 16630259473520/(1x4)

LCM = 16630259473520/4

LCM = 4157564868380

Thus, we can understand that the LCM of 539,674,820,206,271 is 4157564868380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 539, 674, 820, 206, 271

1. What is the LCM of 539, 674, 820, 206, 271?

Answer: LCM of 539, 674, 820, 206, 271 is 4157564868380.

2. How to calculate the LCM of 539, 674, 820, 206, 271?

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 539, 674, 820, 206, 271.

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}.