Given numbers are 272,403,468,828,346

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

The LCM of 272,403,468,828,346 is 3925458576.

Find LCM of 272,403,468,828,346 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 68 x 31 x 1 x 23 x 173 = 3925458576

Therefore, the lowest common multiple of 272,403,468,828,346 is 3925458576.

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 403 x 468 x 828 x 346 = 14696916908544

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

403 : 1, 13, 31, 403

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,403,468,828,346, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

403:13x 31

468:2x 2x 3x 3x 13

828:2x 2x 3x 3x 23

346:2x 173

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 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 14696916908544/(1x3744)

LCM = 14696916908544/3744

LCM = 3925458576

Thus, we can understand that the LCM of 272,403,468,828,346 is 3925458576.

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

• LCM of 228, 779, 828, 146, 615
• LCM of 909, 475, 369, 376, 792
• LCM of 733, 199, 339, 456, 463
• LCM of 131, 920, 188, 535, 631
• LCM of 994, 883, 718, 687, 935

1. What is the LCM of 272, 403, 468, 828, 346?

Answer: LCM of 272, 403, 468, 828, 346 is 3925458576.

2. How to calculate the LCM of 272, 403, 468, 828, 346?

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, 403, 468, 828, 346.

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}.