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LCM of 627, 758, 861, 533, 539

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


Find the LCM of 627, 758, 861, 533, 539 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 627, 758, 861, 533, 539. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,758,861,533,539

Given numbers are 627,758,861,533,539

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

The LCM of 627,758,861,533,539 is 12412522122.

Find LCM of 627,758,861,533,539 with Prime Factorization


3 627, 758, 861, 533, 539
7 209, 758, 287, 533, 539
11 209, 758, 41, 533, 77
41 19, 758, 41, 533, 7
19, 758, 1, 13, 7

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

3 x 7 x 11 x 41 x 19 x 758 x 1 x 13 x 7 = 12412522122

Therefore, the lowest common multiple of 627,758,861,533,539 is 12412522122.

LCM Formula to Find Lowest Common Multiple of 627,758,861,533,539

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.

627 x 758 x 861 x 533 x 539 = 117558997017462

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.

627 : 1, 3, 11, 19, 33, 57, 209, 627

758 : 1, 2, 379, 758

861 : 1, 3, 7, 21, 41, 123, 287, 861

533 : 1, 13, 41, 533

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,758,861,533,539, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

758:2x 379

861:3x 7x 41

533:13x 41

539:7x 7x 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 7x 11x 41 = 9471

Therefore, the value for common factors is 9471.

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 = 117558997017462/(1x9471)

LCM = 117558997017462/9471

LCM = 12412522122

Thus, we can understand that the LCM of 627,758,861,533,539 is 12412522122.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 758, 861, 533, 539

1. What is the LCM of 627, 758, 861, 533, 539?

Answer: LCM of 627, 758, 861, 533, 539 is 12412522122.

2. How to calculate the LCM of 627, 758, 861, 533, 539?

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 627, 758, 861, 533, 539.

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}.