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LCM of 627, 533, 642, 687, 259

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


Find the LCM of 627, 533, 642, 687, 259 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, 533, 642, 687, 259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,533,642,687,259

Given numbers are 627,533,642,687,259

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

The LCM of 627,533,642,687,259 is 4241737313814.

Find LCM of 627,533,642,687,259 with Prime Factorization


3 627, 533, 642, 687, 259
209, 533, 214, 229, 259

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

3 x 209 x 533 x 214 x 229 x 259 = 4241737313814

Therefore, the lowest common multiple of 627,533,642,687,259 is 4241737313814.

LCM Formula to Find Lowest Common Multiple of 627,533,642,687,259

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 533 x 642 x 687 x 259 = 38175635824326

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

533 : 1, 13, 41, 533

642 : 1, 2, 3, 6, 107, 214, 321, 642

687 : 1, 3, 229, 687

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,533,642,687,259, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

533:13x 41

642:2x 3x 107

687:3x 229

259:7x 37

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 38175635824326/(1x9)

LCM = 38175635824326/9

LCM = 4241737313814

Thus, we can understand that the LCM of 627,533,642,687,259 is 4241737313814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 533, 642, 687, 259

1. What is the LCM of 627, 533, 642, 687, 259?

Answer: LCM of 627, 533, 642, 687, 259 is 4241737313814.

2. How to calculate the LCM of 627, 533, 642, 687, 259?

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, 533, 642, 687, 259.

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}.