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LCM of 726, 725, 321, 864, 669

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


Find the LCM of 726, 725, 321, 864, 669 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, 725, 321, 864, 669. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,725,321,864,669

Given numbers are 726,725,321,864,669

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

The LCM of 726,725,321,864,669 is 1808530178400.

Find LCM of 726,725,321,864,669 with Prime Factorization


2 726, 725, 321, 864, 669
3 363, 725, 321, 432, 669
121, 725, 107, 144, 223

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

2 x 3 x 121 x 725 x 107 x 144 x 223 = 1808530178400

Therefore, the lowest common multiple of 726,725,321,864,669 is 1808530178400.

LCM Formula to Find Lowest Common Multiple of 726,725,321,864,669

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 725 x 321 x 864 x 669 = 97660629633600

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

725 : 1, 5, 25, 29, 145, 725

321 : 1, 3, 107, 321

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

669 : 1, 3, 223, 669

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,725,321,864,669, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

725:5x 5x 29

321:3x 107

864:2x 2x 2x 2x 2x 3x 3x 3

669:3x 223

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 97660629633600/(1x54)

LCM = 97660629633600/54

LCM = 1808530178400

Thus, we can understand that the LCM of 726,725,321,864,669 is 1808530178400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 725, 321, 864, 669

1. What is the LCM of 726, 725, 321, 864, 669?

Answer: LCM of 726, 725, 321, 864, 669 is 1808530178400.

2. How to calculate the LCM of 726, 725, 321, 864, 669?

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, 725, 321, 864, 669.

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}.