Given numbers are 289,647,393,566,614

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

The LCM of 289,647,393,566,614 is 12768782238078.

Find LCM of 289,647,393,566,614 with Prime Factorization

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

2 x 289 x 647 x 393 x 283 x 307 = 12768782238078

Therefore, the lowest common multiple of 289,647,393,566,614 is 12768782238078.

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.

289 x 647 x 393 x 566 x 614 = 25537564476156

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.

289 : 1, 17, 289

647 : 1, 647

393 : 1, 3, 131, 393

566 : 1, 2, 283, 566

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,647,393,566,614, is 1.

Now, the common factors can be found like this.

289:17x 17

647:647

393:3x 131

566:2x 283

614:2x 307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 25537564476156/(1x2)

LCM = 25537564476156/2

LCM = 12768782238078

Thus, we can understand that the LCM of 289,647,393,566,614 is 12768782238078.

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

• LCM of 106, 665, 164, 812, 141
• LCM of 858, 818, 872, 501, 839
• LCM of 281, 813, 316, 460, 282
• LCM of 402, 630, 654, 195, 489
• LCM of 657, 422, 663, 662, 649

1. What is the LCM of 289, 647, 393, 566, 614?

Answer: LCM of 289, 647, 393, 566, 614 is 12768782238078.

2. How to calculate the LCM of 289, 647, 393, 566, 614?

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 289, 647, 393, 566, 614.

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}.