LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 726, 921, 845, 363

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


Find the LCM of 726, 921, 845, 363 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 726, 921, 845, 363. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,921,845,363

Given numbers are 726,921,845,363

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

The LCM of 726,921,845,363 is 188335290.

Find LCM of 726,921,845,363 with Prime Factorization


3 726, 921, 845, 363
11 242, 307, 845, 121
11 22, 307, 845, 11
2, 307, 845, 1

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

3 x 11 x 11 x 2 x 307 x 845 x 1 = 188335290

Therefore, the lowest common multiple of 726,921,845,363 is 188335290.

LCM Formula to Find Lowest Common Multiple of 726,921,845,363

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.

726 x 921 x 845 x 363 = 205097130810

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

921 : 1, 3, 307, 921

845 : 1, 5, 13, 65, 169, 845

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,921,845,363, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

921:3x 307

845:5x 13x 13

363:3x 11x 11

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

3x 3x 11x 11 = 1089

Therefore, the value for common factors is 1089.

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 = 205097130810/(1x1089)

LCM = 205097130810/1089

LCM = 188335290

Thus, we can understand that the LCM of 726,921,845,363 is 188335290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 921, 845, 363

1. What is the LCM of 726, 921, 845, 363?

Answer: LCM of 726, 921, 845, 363 is 188335290.

2. How to calculate the LCM of 726, 921, 845, 363?

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 726, 921, 845, 363.

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}.