Given numbers are 704,414,261,566,660

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

The LCM of 704,414,261,566,660 is 5979948480.

Find LCM of 704,414,261,566,660 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 16 x 23 x 29 x 283 x 5 = 5979948480

Therefore, the lowest common multiple of 704,414,261,566,660 is 5979948480.

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 414 x 261 x 566 x 660 = 28416715176960

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

566 : 1, 2, 283, 566

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,414,261,566,660, is 1.

Now, the common factors can be found like this.

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

414:2x 3x 3x 23

261:3x 3x 29

566:2x 283

660:2x 2x 3x 5x 11

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 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 28416715176960/(1x4752)

LCM = 28416715176960/4752

LCM = 5979948480

Thus, we can understand that the LCM of 704,414,261,566,660 is 5979948480.

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

• LCM of 555, 422, 544, 600, 839
• LCM of 892, 796, 718, 298, 111
• LCM of 474, 219, 553, 963, 488
• LCM of 514, 840, 692, 958, 229
• LCM of 350, 420, 758, 260, 571

1. What is the LCM of 704, 414, 261, 566, 660?

Answer: LCM of 704, 414, 261, 566, 660 is 5979948480.

2. How to calculate the LCM of 704, 414, 261, 566, 660?

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, 414, 261, 566, 660.

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}.