Given numbers are 256,431,460,347

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

The LCM of 256,431,460,347 is 4402958080.

Find LCM of 256,431,460,347 with Prime Factorization

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

2 x 2 x 64 x 431 x 115 x 347 = 4402958080

Therefore, the lowest common multiple of 256,431,460,347 is 4402958080.

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.

256 x 431 x 460 x 347 = 17611832320

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.

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

431 : 1, 431

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

347 : 1, 347

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,431,460,347, is 1.

Now, the common factors can be found like this.

256:2x 2x 2x 2x 2x 2x 2x 2

431:431

460:2x 2x 5x 23

347:347

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 = 17611832320/(1x4)

LCM = 17611832320/4

LCM = 4402958080

Thus, we can understand that the LCM of 256,431,460,347 is 4402958080.

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

• LCM of 839, 711, 692, 211
• LCM of 698, 174, 620, 246
• LCM of 989, 654, 648, 628
• LCM of 580, 691, 426, 261
• LCM of 231, 443, 439, 803

1. What is the LCM of 256, 431, 460, 347?

Answer: LCM of 256, 431, 460, 347 is 4402958080.

2. How to calculate the LCM of 256, 431, 460, 347?

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 256, 431, 460, 347.

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}.