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LCM of 897, 272, 182, 609, 539

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


Find the LCM of 897, 272, 182, 609, 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 897, 272, 182, 609, 539. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,272,182,609,539

Given numbers are 897,272,182,609,539

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

The LCM of 897,272,182,609,539 is 3813713904.

Find LCM of 897,272,182,609,539 with Prime Factorization


2 897, 272, 182, 609, 539
3 897, 136, 91, 609, 539
7 299, 136, 91, 203, 539
13 299, 136, 13, 29, 77
23, 136, 1, 29, 77

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

2 x 3 x 7 x 13 x 23 x 136 x 1 x 29 x 77 = 3813713904

Therefore, the lowest common multiple of 897,272,182,609,539 is 3813713904.

LCM Formula to Find Lowest Common Multiple of 897,272,182,609,539

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.

897 x 272 x 182 x 609 x 539 = 14576014541088

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.

897 : 1, 3, 13, 23, 39, 69, 299, 897

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

182 : 1, 2, 7, 13, 14, 26, 91, 182

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

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 897,272,182,609,539, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

272:2x 2x 2x 2x 17

182:2x 7x 13

609:3x 7x 29

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.

2x 3x 7x 7x 13 = 3822

Therefore, the value for common factors is 3822.

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 = 14576014541088/(1x3822)

LCM = 14576014541088/3822

LCM = 3813713904

Thus, we can understand that the LCM of 897,272,182,609,539 is 3813713904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 272, 182, 609, 539

1. What is the LCM of 897, 272, 182, 609, 539?

Answer: LCM of 897, 272, 182, 609, 539 is 3813713904.

2. How to calculate the LCM of 897, 272, 182, 609, 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 897, 272, 182, 609, 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}.