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LCM of 910, 121, 583, 831

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


Find the LCM of 910, 121, 583, 831 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 910, 121, 583, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,121,583,831

Given numbers are 910,121,583,831

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

The LCM of 910,121,583,831 is 4849574730.

Find LCM of 910,121,583,831 with Prime Factorization


11 910, 121, 583, 831
910, 11, 53, 831

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

11 x 910 x 11 x 53 x 831 = 4849574730

Therefore, the lowest common multiple of 910,121,583,831 is 4849574730.

LCM Formula to Find Lowest Common Multiple of 910,121,583,831

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.

910 x 121 x 583 x 831 = 53345322030

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

121 : 1, 11, 121

583 : 1, 11, 53, 583

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,121,583,831, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

121:11x 11

583:11x 53

831:3x 277

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 = 53345322030/(1x11)

LCM = 53345322030/11

LCM = 4849574730

Thus, we can understand that the LCM of 910,121,583,831 is 4849574730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 121, 583, 831

1. What is the LCM of 910, 121, 583, 831?

Answer: LCM of 910, 121, 583, 831 is 4849574730.

2. How to calculate the LCM of 910, 121, 583, 831?

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 910, 121, 583, 831.

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}.