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LCM of 376, 388, 551, 580, 848

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


Find the LCM of 376, 388, 551, 580, 848 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 376, 388, 551, 580, 848. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 376,388,551,580,848

Given numbers are 376,388,551,580,848

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

The LCM of 376,388,551,580,848 is 10650918160.

Find LCM of 376,388,551,580,848 with Prime Factorization


2 376, 388, 551, 580, 848
2 188, 194, 551, 290, 424
2 94, 97, 551, 145, 212
29 47, 97, 551, 145, 106
47, 97, 19, 5, 106

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

2 x 2 x 2 x 29 x 47 x 97 x 19 x 5 x 106 = 10650918160

Therefore, the lowest common multiple of 376,388,551,580,848 is 10650918160.

LCM Formula to Find Lowest Common Multiple of 376,388,551,580,848

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.

376 x 388 x 551 x 580 x 848 = 39536208209920

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

388 : 1, 2, 4, 97, 194, 388

551 : 1, 19, 29, 551

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,388,551,580,848, is 1.

Now, the common factors can be found like this.

376:2x 2x 2x 47

388:2x 2x 97

551:19x 29

580:2x 2x 5x 29

848:2x 2x 2x 2x 53

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

2x 2x 2x 2x 2x 2x 2x 29 = 3712

Therefore, the value for common factors is 3712.

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 = 39536208209920/(1x3712)

LCM = 39536208209920/3712

LCM = 10650918160

Thus, we can understand that the LCM of 376,388,551,580,848 is 10650918160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 376, 388, 551, 580, 848

1. What is the LCM of 376, 388, 551, 580, 848?

Answer: LCM of 376, 388, 551, 580, 848 is 10650918160.

2. How to calculate the LCM of 376, 388, 551, 580, 848?

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 376, 388, 551, 580, 848.

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}.