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LCM of 919, 363, 913, 631, 628

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


Find the LCM of 919, 363, 913, 631, 628 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 919, 363, 913, 631, 628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 919,363,913,631,628

Given numbers are 919,363,913,631,628

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

The LCM of 919,363,913,631,628 is 10972086727668.

Find LCM of 919,363,913,631,628 with Prime Factorization


11 919, 363, 913, 631, 628
919, 33, 83, 631, 628

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

11 x 919 x 33 x 83 x 631 x 628 = 10972086727668

Therefore, the lowest common multiple of 919,363,913,631,628 is 10972086727668.

LCM Formula to Find Lowest Common Multiple of 919,363,913,631,628

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.

919 x 363 x 913 x 631 x 628 = 120692954004348

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.

919 : 1, 919

363 : 1, 3, 11, 33, 121, 363

913 : 1, 11, 83, 913

631 : 1, 631

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,363,913,631,628, is 1.

Now, the common factors can be found like this.

919:919

363:3x 11x 11

913:11x 83

631:631

628:2x 2x 157

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

11 = 11

Therefore, the value for common factors is 11.

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 = 120692954004348/(1x11)

LCM = 120692954004348/11

LCM = 10972086727668

Thus, we can understand that the LCM of 919,363,913,631,628 is 10972086727668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 919, 363, 913, 631, 628

1. What is the LCM of 919, 363, 913, 631, 628?

Answer: LCM of 919, 363, 913, 631, 628 is 10972086727668.

2. How to calculate the LCM of 919, 363, 913, 631, 628?

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 919, 363, 913, 631, 628.

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}.