Given numbers are 364,261,943,764,800

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

The LCM of 364,261,943,764,800 is 3422291090400.

Find LCM of 364,261,943,764,800 with Prime Factorization

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

2 x 2 x 91 x 261 x 943 x 191 x 200 = 3422291090400

Therefore, the lowest common multiple of 364,261,943,764,800 is 3422291090400.

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.

364 x 261 x 943 x 764 x 800 = 54756657446400

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

261 : 1, 3, 9, 29, 87, 261

943 : 1, 23, 41, 943

764 : 1, 2, 4, 191, 382, 764

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,261,943,764,800, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

261:3x 3x 29

943:23x 41

764:2x 2x 191

800:2x 2x 2x 2x 2x 5x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 54756657446400/(1x16)

LCM = 54756657446400/16

LCM = 3422291090400

Thus, we can understand that the LCM of 364,261,943,764,800 is 3422291090400.

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

• LCM of 288, 972, 867, 634, 647
• LCM of 548, 993, 583, 657, 184
• LCM of 481, 173, 736, 311, 536
• LCM of 725, 231, 477, 685, 850
• LCM of 873, 993, 384, 962, 223

1. What is the LCM of 364, 261, 943, 764, 800?

Answer: LCM of 364, 261, 943, 764, 800 is 3422291090400.

2. How to calculate the LCM of 364, 261, 943, 764, 800?

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 364, 261, 943, 764, 800.

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}.