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LCM of 509, 817, 551, 551

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


Find the LCM of 509, 817, 551, 551 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 509, 817, 551, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 509,817,551,551

Given numbers are 509,817,551,551

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

The LCM of 509,817,551,551 is 12059737.

Find LCM of 509,817,551,551 with Prime Factorization


19 509, 817, 551, 551
29 509, 43, 29, 29
509, 43, 1, 1

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

19 x 29 x 509 x 43 x 1 x 1 = 12059737

Therefore, the lowest common multiple of 509,817,551,551 is 12059737.

LCM Formula to Find Lowest Common Multiple of 509,817,551,551

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.

509 x 817 x 551 x 551 = 126253386653

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.

509 : 1, 509

817 : 1, 19, 43, 817

551 : 1, 19, 29, 551

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,817,551,551, is 1.

Now, the common factors can be found like this.

509:509

817:19x 43

551:19x 29

551:19x 29

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

19x 19x 29 = 10469

Therefore, the value for common factors is 10469.

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 = 126253386653/(1x10469)

LCM = 126253386653/10469

LCM = 12059737

Thus, we can understand that the LCM of 509,817,551,551 is 12059737.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 509, 817, 551, 551

1. What is the LCM of 509, 817, 551, 551?

Answer: LCM of 509, 817, 551, 551 is 12059737.

2. How to calculate the LCM of 509, 817, 551, 551?

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 509, 817, 551, 551.

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}.