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LCM of 539, 753, 572, 773, 993

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


Find the LCM of 539, 753, 572, 773, 993 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, 753, 572, 773, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 539,753,572,773,993

Given numbers are 539,753,572,773,993

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

The LCM of 539,753,572,773,993 is 5400010107492.

Find LCM of 539,753,572,773,993 with Prime Factorization


3 539, 753, 572, 773, 993
11 539, 251, 572, 773, 331
49, 251, 52, 773, 331

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

3 x 11 x 49 x 251 x 52 x 773 x 331 = 5400010107492

Therefore, the lowest common multiple of 539,753,572,773,993 is 5400010107492.

LCM Formula to Find Lowest Common Multiple of 539,753,572,773,993

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 753 x 572 x 773 x 993 = 178200333547236

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

753 : 1, 3, 251, 753

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

773 : 1, 773

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,753,572,773,993, is 1.

Now, the common factors can be found like this.

539:7x 7x 11

753:3x 251

572:2x 2x 11x 13

773:773

993:3x 331

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 178200333547236/(1x33)

LCM = 178200333547236/33

LCM = 5400010107492

Thus, we can understand that the LCM of 539,753,572,773,993 is 5400010107492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 539, 753, 572, 773, 993

1. What is the LCM of 539, 753, 572, 773, 993?

Answer: LCM of 539, 753, 572, 773, 993 is 5400010107492.

2. How to calculate the LCM of 539, 753, 572, 773, 993?

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, 753, 572, 773, 993.

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}.