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LCM of 922, 187, 758, 772

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


Find the LCM of 922, 187, 758, 772 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 922, 187, 758, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,187,758,772

Given numbers are 922,187,758,772

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

The LCM of 922,187,758,772 is 25223133716.

Find LCM of 922,187,758,772 with Prime Factorization


2 922, 187, 758, 772
461, 187, 379, 386

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

2 x 461 x 187 x 379 x 386 = 25223133716

Therefore, the lowest common multiple of 922,187,758,772 is 25223133716.

LCM Formula to Find Lowest Common Multiple of 922,187,758,772

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.

922 x 187 x 758 x 772 = 100892534864

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.

922 : 1, 2, 461, 922

187 : 1, 11, 17, 187

758 : 1, 2, 379, 758

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,187,758,772, is 1.

Now, the common factors can be found like this.

922:2x 461

187:11x 17

758:2x 379

772:2x 2x 193

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 100892534864/(1x4)

LCM = 100892534864/4

LCM = 25223133716

Thus, we can understand that the LCM of 922,187,758,772 is 25223133716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 187, 758, 772

1. What is the LCM of 922, 187, 758, 772?

Answer: LCM of 922, 187, 758, 772 is 25223133716.

2. How to calculate the LCM of 922, 187, 758, 772?

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 922, 187, 758, 772.

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}.