Given numbers are 726,800,741,810

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

The LCM of 726,800,741,810 is 1936677600.

Find LCM of 726,800,741,810 with Prime Factorization

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

2 x 3 x 5 x 121 x 80 x 247 x 27 = 1936677600

Therefore, the lowest common multiple of 726,800,741,810 is 1936677600.

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 800 x 741 x 810 = 348601968000

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

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

741 : 1, 3, 13, 19, 39, 57, 247, 741

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,800,741,810, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

800:2x 2x 2x 2x 2x 5x 5

741:3x 13x 19

810:2x 3x 3x 3x 3x 5

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

2x 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 348601968000/(1x180)

LCM = 348601968000/180

LCM = 1936677600

Thus, we can understand that the LCM of 726,800,741,810 is 1936677600.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 647, 413, 703, 314
• LCM of 165, 486, 721, 501
• LCM of 844, 392, 675, 126
• LCM of 932, 797, 472, 290
• LCM of 443, 200, 729, 234

1. What is the LCM of 726, 800, 741, 810?

Answer: LCM of 726, 800, 741, 810 is 1936677600.

2. How to calculate the LCM of 726, 800, 741, 810?

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, 800, 741, 810.

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}.