Given numbers are 826,772,942,734,810

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

The LCM of 826,772,942,734,810 is 7440259651020.

Find LCM of 826,772,942,734,810 with Prime Factorization

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

2 x 3 x 413 x 386 x 157 x 367 x 135 = 7440259651020

Therefore, the lowest common multiple of 826,772,942,734,810 is 7440259651020.

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.

826 x 772 x 942 x 734 x 810 = 357132463248960

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

772 : 1, 2, 4, 193, 386, 772

942 : 1, 2, 3, 6, 157, 314, 471, 942

734 : 1, 2, 367, 734

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,772,942,734,810, is 2.

Now, the common factors can be found like this.

826:2x 7x 59

772:2x 2x 193

942:2x 3x 157

734:2x 367

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 357132463248960/(2x24)

LCM = 357132463248960/48

LCM = 7440259651020

Thus, we can understand that the LCM of 826,772,942,734,810 is 7440259651020.

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

• LCM of 205, 500, 919, 361, 897
• LCM of 597, 750, 869, 276, 105
• LCM of 455, 496, 885, 654, 931
• LCM of 420, 154, 698, 669, 173
• LCM of 235, 452, 632, 888, 165

1. What is the LCM of 826, 772, 942, 734, 810?

Answer: LCM of 826, 772, 942, 734, 810 is 7440259651020.

2. How to calculate the LCM of 826, 772, 942, 734, 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 826, 772, 942, 734, 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}.