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LCM of 834, 121, 935, 722

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


Find the LCM of 834, 121, 935, 722 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 834, 121, 935, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,121,935,722

Given numbers are 834,121,935,722

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

The LCM of 834,121,935,722 is 3096546090.

Find LCM of 834,121,935,722 with Prime Factorization


2 834, 121, 935, 722
11 417, 121, 935, 361
417, 11, 85, 361

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

2 x 11 x 417 x 11 x 85 x 361 = 3096546090

Therefore, the lowest common multiple of 834,121,935,722 is 3096546090.

LCM Formula to Find Lowest Common Multiple of 834,121,935,722

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.

834 x 121 x 935 x 722 = 68124013980

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

121 : 1, 11, 121

935 : 1, 5, 11, 17, 55, 85, 187, 935

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,121,935,722, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

121:11x 11

935:5x 11x 17

722:2x 19x 19

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 68124013980/(1x22)

LCM = 68124013980/22

LCM = 3096546090

Thus, we can understand that the LCM of 834,121,935,722 is 3096546090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 121, 935, 722

1. What is the LCM of 834, 121, 935, 722?

Answer: LCM of 834, 121, 935, 722 is 3096546090.

2. How to calculate the LCM of 834, 121, 935, 722?

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 834, 121, 935, 722.

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}.