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LCM of 551, 609, 843, 771, 639

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


Find the LCM of 551, 609, 843, 771, 639 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 551, 609, 843, 771, 639. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,609,843,771,639

Given numbers are 551,609,843,771,639

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

The LCM of 551,609,843,771,639 is 177987679191.

Find LCM of 551,609,843,771,639 with Prime Factorization


3 551, 609, 843, 771, 639
29 551, 203, 281, 257, 213
19, 7, 281, 257, 213

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

3 x 29 x 19 x 7 x 281 x 257 x 213 = 177987679191

Therefore, the lowest common multiple of 551,609,843,771,639 is 177987679191.

LCM Formula to Find Lowest Common Multiple of 551,609,843,771,639

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.

551 x 609 x 843 x 771 x 639 = 139364352806553

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.

551 : 1, 19, 29, 551

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

843 : 1, 3, 281, 843

771 : 1, 3, 257, 771

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,609,843,771,639, is 1.

Now, the common factors can be found like this.

551:19x 29

609:3x 7x 29

843:3x 281

771:3x 257

639:3x 3x 71

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

3x 3x 3x 29 = 783

Therefore, the value for common factors is 783.

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 = 139364352806553/(1x783)

LCM = 139364352806553/783

LCM = 177987679191

Thus, we can understand that the LCM of 551,609,843,771,639 is 177987679191.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 609, 843, 771, 639

1. What is the LCM of 551, 609, 843, 771, 639?

Answer: LCM of 551, 609, 843, 771, 639 is 177987679191.

2. How to calculate the LCM of 551, 609, 843, 771, 639?

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 551, 609, 843, 771, 639.

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}.