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LCM of 539, 850, 641, 663, 363

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


Find the LCM of 539, 850, 641, 663, 363 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, 850, 641, 663, 363. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 539,850,641,663,363

Given numbers are 539,850,641,663,363

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

The LCM of 539,850,641,663,363 is 125986210350.

Find LCM of 539,850,641,663,363 with Prime Factorization


3 539, 850, 641, 663, 363
11 539, 850, 641, 221, 121
17 49, 850, 641, 221, 11
49, 50, 641, 13, 11

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

3 x 11 x 17 x 49 x 50 x 641 x 13 x 11 = 125986210350

Therefore, the lowest common multiple of 539,850,641,663,363 is 125986210350.

LCM Formula to Find Lowest Common Multiple of 539,850,641,663,363

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 850 x 641 x 663 x 363 = 70678264006350

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

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

641 : 1, 641

663 : 1, 3, 13, 17, 39, 51, 221, 663

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,850,641,663,363, is 1.

Now, the common factors can be found like this.

539:7x 7x 11

850:2x 5x 5x 17

641:641

663:3x 13x 17

363:3x 11x 11

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

3x 11x 17 = 561

Therefore, the value for common factors is 561.

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 = 70678264006350/(1x561)

LCM = 70678264006350/561

LCM = 125986210350

Thus, we can understand that the LCM of 539,850,641,663,363 is 125986210350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 539, 850, 641, 663, 363

1. What is the LCM of 539, 850, 641, 663, 363?

Answer: LCM of 539, 850, 641, 663, 363 is 125986210350.

2. How to calculate the LCM of 539, 850, 641, 663, 363?

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, 850, 641, 663, 363.

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}.