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LCM of 227, 481, 321, 905, 726

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


Find the LCM of 227, 481, 321, 905, 726 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 227, 481, 321, 905, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 227,481,321,905,726

Given numbers are 227,481,321,905,726

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

The LCM of 227,481,321,905,726 is 7676087403270.

Find LCM of 227,481,321,905,726 with Prime Factorization


3 227, 481, 321, 905, 726
227, 481, 107, 905, 242

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

3 x 227 x 481 x 107 x 905 x 242 = 7676087403270

Therefore, the lowest common multiple of 227,481,321,905,726 is 7676087403270.

LCM Formula to Find Lowest Common Multiple of 227,481,321,905,726

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.

227 x 481 x 321 x 905 x 726 = 23028262209810

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.

227 : 1, 227

481 : 1, 13, 37, 481

321 : 1, 3, 107, 321

905 : 1, 5, 181, 905

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,481,321,905,726, is 1.

Now, the common factors can be found like this.

227:227

481:13x 37

321:3x 107

905:5x 181

726:2x 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.

3 = 3

Therefore, the value for common factors is 3.

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 = 23028262209810/(1x3)

LCM = 23028262209810/3

LCM = 7676087403270

Thus, we can understand that the LCM of 227,481,321,905,726 is 7676087403270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 227, 481, 321, 905, 726

1. What is the LCM of 227, 481, 321, 905, 726?

Answer: LCM of 227, 481, 321, 905, 726 is 7676087403270.

2. How to calculate the LCM of 227, 481, 321, 905, 726?

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 227, 481, 321, 905, 726.

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}.