Given numbers are 460,284,643,417

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

The LCM of 460,284,643,417 is 8757158460.

Find LCM of 460,284,643,417 with Prime Factorization

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

2 x 2 x 115 x 71 x 643 x 417 = 8757158460

Therefore, the lowest common multiple of 460,284,643,417 is 8757158460.

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.

460 x 284 x 643 x 417 = 35028633840

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.

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

284 : 1, 2, 4, 71, 142, 284

643 : 1, 643

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,284,643,417, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

284:2x 2x 71

643:643

417:3x 139

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 = 35028633840/(1x4)

LCM = 35028633840/4

LCM = 8757158460

Thus, we can understand that the LCM of 460,284,643,417 is 8757158460.

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

• LCM of 847, 911, 283, 885
• LCM of 720, 649, 984, 981
• LCM of 966, 398, 407, 100
• LCM of 724, 706, 656, 187
• LCM of 193, 773, 840, 836

1. What is the LCM of 460, 284, 643, 417?

Answer: LCM of 460, 284, 643, 417 is 8757158460.

2. How to calculate the LCM of 460, 284, 643, 417?

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 460, 284, 643, 417.

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}.