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LCM of 678, 551, 334, 413

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


Find the LCM of 678, 551, 334, 413 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 678, 551, 334, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,551,334,413

Given numbers are 678,551,334,413

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

The LCM of 678,551,334,413 is 25766048238.

Find LCM of 678,551,334,413 with Prime Factorization


2 678, 551, 334, 413
339, 551, 167, 413

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

2 x 339 x 551 x 167 x 413 = 25766048238

Therefore, the lowest common multiple of 678,551,334,413 is 25766048238.

LCM Formula to Find Lowest Common Multiple of 678,551,334,413

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.

678 x 551 x 334 x 413 = 51532096476

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

551 : 1, 19, 29, 551

334 : 1, 2, 167, 334

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,551,334,413, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

551:19x 29

334:2x 167

413:7x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 51532096476/(1x2)

LCM = 51532096476/2

LCM = 25766048238

Thus, we can understand that the LCM of 678,551,334,413 is 25766048238.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 551, 334, 413

1. What is the LCM of 678, 551, 334, 413?

Answer: LCM of 678, 551, 334, 413 is 25766048238.

2. How to calculate the LCM of 678, 551, 334, 413?

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 678, 551, 334, 413.

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}.