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LCM of 551, 814, 558, 377, 319

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


Find the LCM of 551, 814, 558, 377, 319 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, 814, 558, 377, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,814,558,377,319

Given numbers are 551,814,558,377,319

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

The LCM of 551,814,558,377,319 is 1626760278.

Find LCM of 551,814,558,377,319 with Prime Factorization


2 551, 814, 558, 377, 319
11 551, 407, 279, 377, 319
29 551, 37, 279, 377, 29
19, 37, 279, 13, 1

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

2 x 11 x 29 x 19 x 37 x 279 x 13 x 1 = 1626760278

Therefore, the lowest common multiple of 551,814,558,377,319 is 1626760278.

LCM Formula to Find Lowest Common Multiple of 551,814,558,377,319

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 814 x 558 x 377 x 319 = 30098318663556

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

377 : 1, 13, 29, 377

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,814,558,377,319, is 1.

Now, the common factors can be found like this.

551:19x 29

814:2x 11x 37

558:2x 3x 3x 31

377:13x 29

319:11x 29

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

2x 11x 29x 29 = 18502

Therefore, the value for common factors is 18502.

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 = 30098318663556/(1x18502)

LCM = 30098318663556/18502

LCM = 1626760278

Thus, we can understand that the LCM of 551,814,558,377,319 is 1626760278.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 814, 558, 377, 319

1. What is the LCM of 551, 814, 558, 377, 319?

Answer: LCM of 551, 814, 558, 377, 319 is 1626760278.

2. How to calculate the LCM of 551, 814, 558, 377, 319?

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, 814, 558, 377, 319.

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}.