Given numbers are 704,960,214,283

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

The LCM of 704,960,214,283 is 319767360.

Find LCM of 704,960,214,283 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 11 x 15 x 107 x 283 = 319767360

Therefore, the lowest common multiple of 704,960,214,283 is 319767360.

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.

704 x 960 x 214 x 283 = 40930222080

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

214 : 1, 2, 107, 214

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,960,214,283, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

960:2x 2x 2x 2x 2x 2x 3x 5

214:2x 107

283:283

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 40930222080/(1x128)

LCM = 40930222080/128

LCM = 319767360

Thus, we can understand that the LCM of 704,960,214,283 is 319767360.

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

• LCM of 365, 501, 677, 211
• LCM of 990, 341, 520, 615
• LCM of 923, 121, 479, 316
• LCM of 815, 664, 961, 561
• LCM of 319, 865, 409, 426

1. What is the LCM of 704, 960, 214, 283?

Answer: LCM of 704, 960, 214, 283 is 319767360.

2. How to calculate the LCM of 704, 960, 214, 283?

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 704, 960, 214, 283.

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}.