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LCM of 681, 194, 519, 414

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


Find the LCM of 681, 194, 519, 414 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 681, 194, 519, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,194,519,414

Given numbers are 681,194,519,414

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

The LCM of 681,194,519,414 is 1577044818.

Find LCM of 681,194,519,414 with Prime Factorization


2 681, 194, 519, 414
3 681, 97, 519, 207
227, 97, 173, 69

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

2 x 3 x 227 x 97 x 173 x 69 = 1577044818

Therefore, the lowest common multiple of 681,194,519,414 is 1577044818.

LCM Formula to Find Lowest Common Multiple of 681,194,519,414

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.

681 x 194 x 519 x 414 = 28386806724

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.

681 : 1, 3, 227, 681

194 : 1, 2, 97, 194

519 : 1, 3, 173, 519

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,194,519,414, is 1.

Now, the common factors can be found like this.

681:3x 227

194:2x 97

519:3x 173

414:2x 3x 3x 23

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 28386806724/(1x18)

LCM = 28386806724/18

LCM = 1577044818

Thus, we can understand that the LCM of 681,194,519,414 is 1577044818.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 194, 519, 414

1. What is the LCM of 681, 194, 519, 414?

Answer: LCM of 681, 194, 519, 414 is 1577044818.

2. How to calculate the LCM of 681, 194, 519, 414?

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 681, 194, 519, 414.

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}.