Given numbers are 342,811,276,928

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

The LCM of 342,811,276,928 is 2960007264.

Find LCM of 342,811,276,928 with Prime Factorization

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

2 x 2 x 3 x 57 x 811 x 23 x 232 = 2960007264

Therefore, the lowest common multiple of 342,811,276,928 is 2960007264.

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.

342 x 811 x 276 x 928 = 71040174336

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

811 : 1, 811

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,811,276,928, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

811:811

276:2x 2x 3x 23

928:2x 2x 2x 2x 2x 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 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 = 71040174336/(1x24)

LCM = 71040174336/24

LCM = 2960007264

Thus, we can understand that the LCM of 342,811,276,928 is 2960007264.

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

• LCM of 364, 333, 115, 775
• LCM of 574, 636, 640, 487
• LCM of 812, 919, 576, 504
• LCM of 985, 581, 679, 808
• LCM of 675, 112, 613, 510

1. What is the LCM of 342, 811, 276, 928?

Answer: LCM of 342, 811, 276, 928 is 2960007264.

2. How to calculate the LCM of 342, 811, 276, 928?

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 342, 811, 276, 928.

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}.