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LCM of 539, 764, 598, 537, 206

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


Find the LCM of 539, 764, 598, 537, 206 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, 764, 598, 537, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 539,764,598,537,206

Given numbers are 539,764,598,537,206

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

The LCM of 539,764,598,537,206 is 6810277718244.

Find LCM of 539,764,598,537,206 with Prime Factorization


2 539, 764, 598, 537, 206
539, 382, 299, 537, 103

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

2 x 539 x 382 x 299 x 537 x 103 = 6810277718244

Therefore, the lowest common multiple of 539,764,598,537,206 is 6810277718244.

LCM Formula to Find Lowest Common Multiple of 539,764,598,537,206

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 764 x 598 x 537 x 206 = 27241110872976

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

764 : 1, 2, 4, 191, 382, 764

598 : 1, 2, 13, 23, 26, 46, 299, 598

537 : 1, 3, 179, 537

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,764,598,537,206, is 1.

Now, the common factors can be found like this.

539:7x 7x 11

764:2x 2x 191

598:2x 13x 23

537:3x 179

206:2x 103

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 = 27241110872976/(1x4)

LCM = 27241110872976/4

LCM = 6810277718244

Thus, we can understand that the LCM of 539,764,598,537,206 is 6810277718244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 539, 764, 598, 537, 206

1. What is the LCM of 539, 764, 598, 537, 206?

Answer: LCM of 539, 764, 598, 537, 206 is 6810277718244.

2. How to calculate the LCM of 539, 764, 598, 537, 206?

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, 764, 598, 537, 206.

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}.