Given numbers are 460,382,114,647

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

The LCM of 460,382,114,647 is 3240188940.

Find LCM of 460,382,114,647 with Prime Factorization

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

2 x 230 x 191 x 57 x 647 = 3240188940

Therefore, the lowest common multiple of 460,382,114,647 is 3240188940.

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 382 x 114 x 647 = 12960755760

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

382 : 1, 2, 191, 382

114 : 1, 2, 3, 6, 19, 38, 57, 114

647 : 1, 647

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,382,114,647, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

382:2x 191

114:2x 3x 19

647:647

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 = 12960755760/(1x4)

LCM = 12960755760/4

LCM = 3240188940

Thus, we can understand that the LCM of 460,382,114,647 is 3240188940.

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

• LCM of 156, 216, 105, 137
• LCM of 421, 253, 606, 979
• LCM of 978, 642, 664, 810
• LCM of 221, 162, 856, 749
• LCM of 339, 407, 704, 490

1. What is the LCM of 460, 382, 114, 647?

Answer: LCM of 460, 382, 114, 647 is 3240188940.

2. How to calculate the LCM of 460, 382, 114, 647?

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, 382, 114, 647.

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}.