Given numbers are 311,268,328,617

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

The LCM of 311,268,328,617 is 4216908712.

Find LCM of 311,268,328,617 with Prime Factorization

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

2 x 2 x 311 x 67 x 82 x 617 = 4216908712

Therefore, the lowest common multiple of 311,268,328,617 is 4216908712.

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.

311 x 268 x 328 x 617 = 16867634848

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.

311 : 1, 311

268 : 1, 2, 4, 67, 134, 268

328 : 1, 2, 4, 8, 41, 82, 164, 328

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,268,328,617, is 1.

Now, the common factors can be found like this.

311:311

268:2x 2x 67

328:2x 2x 2x 41

617:617

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 = 16867634848/(1x4)

LCM = 16867634848/4

LCM = 4216908712

Thus, we can understand that the LCM of 311,268,328,617 is 4216908712.

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

• LCM of 447, 667, 186, 574
• LCM of 794, 357, 673, 267
• LCM of 471, 436, 177, 916
• LCM of 584, 167, 790, 189
• LCM of 132, 913, 627, 498

1. What is the LCM of 311, 268, 328, 617?

Answer: LCM of 311, 268, 328, 617 is 4216908712.

2. How to calculate the LCM of 311, 268, 328, 617?

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 311, 268, 328, 617.

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}.