Given numbers are 256,730,135,914

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

The LCM of 256,730,135,914 is 1152956160.

Find LCM of 256,730,135,914 with Prime Factorization

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

2 x 5 x 128 x 73 x 27 x 457 = 1152956160

Therefore, the lowest common multiple of 256,730,135,914 is 1152956160.

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 730 x 135 x 914 = 23059123200

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

730 : 1, 2, 5, 10, 73, 146, 365, 730

135 : 1, 3, 5, 9, 15, 27, 45, 135

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,730,135,914, is 1.

Now, the common factors can be found like this.

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

730:2x 5x 73

135:3x 3x 3x 5

914:2x 457

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 5 = 20

Therefore, the value for common factors is 20.

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 = 23059123200/(1x20)

LCM = 23059123200/20

LCM = 1152956160

Thus, we can understand that the LCM of 256,730,135,914 is 1152956160.

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

• LCM of 378, 654, 648, 182
• LCM of 647, 100, 207, 188
• LCM of 218, 516, 681, 840
• LCM of 820, 970, 503, 799
• LCM of 283, 685, 175, 623

1. What is the LCM of 256, 730, 135, 914?

Answer: LCM of 256, 730, 135, 914 is 1152956160.

2. How to calculate the LCM of 256, 730, 135, 914?

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, 730, 135, 914.

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}.