Given numbers are 792,438,135,803,356

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

The LCM of 792,438,135,803,356 is 77184360.

Find LCM of 792,438,135,803,356 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 73 x 2 x 1 x 15 x 1 x 89 = 77184360

Therefore, the lowest common multiple of 792,438,135,803,356 is 77184360.

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.

792 x 438 x 135 x 803 x 356 = 13387472873280

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

438 : 1, 2, 3, 6, 73, 146, 219, 438

135 : 1, 3, 5, 9, 15, 27, 45, 135

803 : 1, 11, 73, 803

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,438,135,803,356, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

438:2x 3x 73

135:3x 3x 3x 5

803:11x 73

356:2x 2x 89

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 3x 3x 3x 11x 73 = 173448

Therefore, the value for common factors is 173448.

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 = 13387472873280/(1x173448)

LCM = 13387472873280/173448

LCM = 77184360

Thus, we can understand that the LCM of 792,438,135,803,356 is 77184360.

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

• LCM of 285, 501, 145, 388, 804
• LCM of 981, 920, 557, 537, 741
• LCM of 762, 248, 521, 392, 394
• LCM of 414, 114, 722, 216, 596
• LCM of 495, 120, 961, 870, 369

1. What is the LCM of 792, 438, 135, 803, 356?

Answer: LCM of 792, 438, 135, 803, 356 is 77184360.

2. How to calculate the LCM of 792, 438, 135, 803, 356?

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 792, 438, 135, 803, 356.

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}.