Given numbers are 814,402,134,511,468

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

The LCM of 814,402,134,511,468 is 6521326812.

Find LCM of 814,402,134,511,468 with Prime Factorization

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

2 x 3 x 67 x 407 x 1 x 1 x 511 x 78 = 6521326812

Therefore, the lowest common multiple of 814,402,134,511,468 is 6521326812.

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 402 x 134 x 511 x 468 = 10486293513696

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

134 : 1, 2, 67, 134

511 : 1, 7, 73, 511

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,402,134,511,468, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

402:2x 3x 67

134:2x 67

511:7x 73

468:2x 2x 3x 3x 13

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 67 = 1608

Therefore, the value for common factors is 1608.

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 = 10486293513696/(1x1608)

LCM = 10486293513696/1608

LCM = 6521326812

Thus, we can understand that the LCM of 814,402,134,511,468 is 6521326812.

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

• LCM of 664, 283, 880, 661, 449
• LCM of 382, 757, 713, 350, 592
• LCM of 528, 885, 730, 875, 339
• LCM of 290, 142, 326, 489, 687
• LCM of 244, 723, 274, 865, 527

1. What is the LCM of 814, 402, 134, 511, 468?

Answer: LCM of 814, 402, 134, 511, 468 is 6521326812.

2. How to calculate the LCM of 814, 402, 134, 511, 468?

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, 402, 134, 511, 468.

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}.