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LCM of 681, 215, 998, 425, 919

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


Find the LCM of 681, 215, 998, 425, 919 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, 215, 998, 425, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,215,998,425,919

Given numbers are 681,215,998,425,919

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

The LCM of 681,215,998,425,919 is 11414333309550.

Find LCM of 681,215,998,425,919 with Prime Factorization


5 681, 215, 998, 425, 919
681, 43, 998, 85, 919

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

5 x 681 x 43 x 998 x 85 x 919 = 11414333309550

Therefore, the lowest common multiple of 681,215,998,425,919 is 11414333309550.

LCM Formula to Find Lowest Common Multiple of 681,215,998,425,919

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 215 x 998 x 425 x 919 = 57071666547750

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

215 : 1, 5, 43, 215

998 : 1, 2, 499, 998

425 : 1, 5, 17, 25, 85, 425

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,215,998,425,919, is 1.

Now, the common factors can be found like this.

681:3x 227

215:5x 43

998:2x 499

425:5x 5x 17

919:919

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

5 = 5

Therefore, the value for common factors is 5.

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 = 57071666547750/(1x5)

LCM = 57071666547750/5

LCM = 11414333309550

Thus, we can understand that the LCM of 681,215,998,425,919 is 11414333309550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 215, 998, 425, 919

1. What is the LCM of 681, 215, 998, 425, 919?

Answer: LCM of 681, 215, 998, 425, 919 is 11414333309550.

2. How to calculate the LCM of 681, 215, 998, 425, 919?

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, 215, 998, 425, 919.

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}.