Given numbers are 814,542,115,709,406

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

The LCM of 814,542,115,709,406 is 3651184753370.

Find LCM of 814,542,115,709,406 with Prime Factorization

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

2 x 407 x 271 x 115 x 709 x 203 = 3651184753370

Therefore, the lowest common multiple of 814,542,115,709,406 is 3651184753370.

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.

814 x 542 x 115 x 709 x 406 = 14604739013480

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

542 : 1, 2, 271, 542

115 : 1, 5, 23, 115

709 : 1, 709

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,542,115,709,406, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

542:2x 271

115:5x 23

709:709

406:2x 7x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14604739013480/(1x4)

LCM = 14604739013480/4

LCM = 3651184753370

Thus, we can understand that the LCM of 814,542,115,709,406 is 3651184753370.

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

• LCM of 222, 716, 916, 923, 826
• LCM of 195, 152, 886, 240, 730
• LCM of 466, 118, 934, 582, 308
• LCM of 419, 520, 553, 416, 796
• LCM of 108, 880, 234, 618, 745

1. What is the LCM of 814, 542, 115, 709, 406?

Answer: LCM of 814, 542, 115, 709, 406 is 3651184753370.

2. How to calculate the LCM of 814, 542, 115, 709, 406?

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 814, 542, 115, 709, 406.

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}.