Given numbers are 272,920,914,230,828

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

The LCM of 272,920,914,230,828 is 128654640.

Find LCM of 272,920,914,230,828 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 34 x 1 x 457 x 1 x 9 = 128654640

Therefore, the lowest common multiple of 272,920,914,230,828 is 128654640.

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.

272 x 920 x 914 x 230 x 828 = 43557314918400

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

914 : 1, 2, 457, 914

230 : 1, 2, 5, 10, 23, 46, 115, 230

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,920,914,230,828, is 2.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

920:2x 2x 2x 5x 23

914:2x 457

230:2x 5x 23

828:2x 2x 3x 3x 23

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 5x 23x 23 = 169280

Therefore, the value for common factors is 169280.

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 = 43557314918400/(2x169280)

LCM = 43557314918400/338560

LCM = 128654640

Thus, we can understand that the LCM of 272,920,914,230,828 is 128654640.

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

• LCM of 185, 781, 775, 433, 308
• LCM of 298, 543, 307, 597, 992
• LCM of 768, 614, 930, 884, 130
• LCM of 304, 184, 318, 534, 738
• LCM of 754, 403, 134, 154, 975

1. What is the LCM of 272, 920, 914, 230, 828?

Answer: LCM of 272, 920, 914, 230, 828 is 128654640.

2. How to calculate the LCM of 272, 920, 914, 230, 828?

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 272, 920, 914, 230, 828.

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}.