Given numbers are 456,484,205,418,314

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

The LCM of 456,484,205,418,314 is 1775839560.

Find LCM of 456,484,205,418,314 with Prime Factorization

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

2 x 2 x 11 x 19 x 6 x 11 x 205 x 1 x 157 = 1775839560

Therefore, the lowest common multiple of 456,484,205,418,314 is 1775839560.

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.

456 x 484 x 205 x 418 x 314 = 5938407488640

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

205 : 1, 5, 41, 205

418 : 1, 2, 11, 19, 22, 38, 209, 418

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,484,205,418,314, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

484:2x 2x 11x 11

205:5x 41

418:2x 11x 19

314:2x 157

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 11x 19 = 3344

Therefore, the value for common factors is 3344.

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 = 5938407488640/(1x3344)

LCM = 5938407488640/3344

LCM = 1775839560

Thus, we can understand that the LCM of 456,484,205,418,314 is 1775839560.

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

• LCM of 148, 260, 333, 398, 888
• LCM of 779, 500, 427, 134, 653
• LCM of 952, 300, 689, 826, 335
• LCM of 720, 759, 964, 627, 984
• LCM of 403, 746, 834, 725, 582

1. What is the LCM of 456, 484, 205, 418, 314?

Answer: LCM of 456, 484, 205, 418, 314 is 1775839560.

2. How to calculate the LCM of 456, 484, 205, 418, 314?

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 456, 484, 205, 418, 314.

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}.