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LCM of 539, 487, 609, 409, 273

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


Find the LCM of 539, 487, 609, 409, 273 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, 487, 609, 409, 273. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 539,487,609,409,273

Given numbers are 539,487,609,409,273

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

The LCM of 539,487,609,409,273 is 121423749447.

Find LCM of 539,487,609,409,273 with Prime Factorization


3 539, 487, 609, 409, 273
7 539, 487, 203, 409, 91
77, 487, 29, 409, 13

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

3 x 7 x 77 x 487 x 29 x 409 x 13 = 121423749447

Therefore, the lowest common multiple of 539,487,609,409,273 is 121423749447.

LCM Formula to Find Lowest Common Multiple of 539,487,609,409,273

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 487 x 609 x 409 x 273 = 17849291168709

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

487 : 1, 487

609 : 1, 3, 7, 21, 29, 87, 203, 609

409 : 1, 409

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,487,609,409,273, is 1.

Now, the common factors can be found like this.

539:7x 7x 11

487:487

609:3x 7x 29

409:409

273:3x 7x 13

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 7 = 147

Therefore, the value for common factors is 147.

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 = 17849291168709/(1x147)

LCM = 17849291168709/147

LCM = 121423749447

Thus, we can understand that the LCM of 539,487,609,409,273 is 121423749447.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 539, 487, 609, 409, 273

1. What is the LCM of 539, 487, 609, 409, 273?

Answer: LCM of 539, 487, 609, 409, 273 is 121423749447.

2. How to calculate the LCM of 539, 487, 609, 409, 273?

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, 487, 609, 409, 273.

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}.