Given numbers are 914,396,128,528,397

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

The LCM of 914,396,128,528,397 is 2299068288.

Find LCM of 914,396,128,528,397 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 457 x 1 x 8 x 3 x 397 = 2299068288

Therefore, the lowest common multiple of 914,396,128,528,397 is 2299068288.

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.

914 x 396 x 128 x 528 x 397 = 9711264448512

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.

914 : 1, 2, 457, 914

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,396,128,528,397, is 1.

Now, the common factors can be found like this.

914:2x 457

396:2x 2x 3x 3x 11

128:2x 2x 2x 2x 2x 2x 2

528:2x 2x 2x 2x 3x 11

397:397

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 2x 2x 2x 2x 2x 3x 11 = 4224

Therefore, the value for common factors is 4224.

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 = 9711264448512/(1x4224)

LCM = 9711264448512/4224

LCM = 2299068288

Thus, we can understand that the LCM of 914,396,128,528,397 is 2299068288.

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

• LCM of 623, 460, 782, 141, 762
• LCM of 868, 860, 886, 207, 257
• LCM of 340, 566, 871, 115, 318
• LCM of 903, 149, 322, 202, 932
• LCM of 824, 818, 722, 903, 307

1. What is the LCM of 914, 396, 128, 528, 397?

Answer: LCM of 914, 396, 128, 528, 397 is 2299068288.

2. How to calculate the LCM of 914, 396, 128, 528, 397?

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 914, 396, 128, 528, 397.

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}.