Given numbers are 643,204,949,460

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

The LCM of 643,204,949,460 is 14315456220.

Find LCM of 643,204,949,460 with Prime Factorization

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

2 x 2 x 643 x 51 x 949 x 115 = 14315456220

Therefore, the lowest common multiple of 643,204,949,460 is 14315456220.

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.

643 x 204 x 949 x 460 = 57261824880

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.

643 : 1, 643

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

949 : 1, 13, 73, 949

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,204,949,460, is 1.

Now, the common factors can be found like this.

643:643

204:2x 2x 3x 17

949:13x 73

460:2x 2x 5x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 57261824880/(1x4)

LCM = 57261824880/4

LCM = 14315456220

Thus, we can understand that the LCM of 643,204,949,460 is 14315456220.

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

• LCM of 797, 326, 608, 189
• LCM of 732, 209, 754, 109
• LCM of 147, 633, 547, 343
• LCM of 957, 932, 924, 234
• LCM of 200, 763, 463, 671

1. What is the LCM of 643, 204, 949, 460?

Answer: LCM of 643, 204, 949, 460 is 14315456220.

2. How to calculate the LCM of 643, 204, 949, 460?

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 643, 204, 949, 460.

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}.