Given numbers are 284,754,311,278

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

The LCM of 284,754,311,278 is 4628442572.

Find LCM of 284,754,311,278 with Prime Factorization

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

2 x 142 x 377 x 311 x 139 = 4628442572

Therefore, the lowest common multiple of 284,754,311,278 is 4628442572.

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.

284 x 754 x 311 x 278 = 18513770288

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.

284 : 1, 2, 4, 71, 142, 284

754 : 1, 2, 13, 26, 29, 58, 377, 754

311 : 1, 311

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,754,311,278, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

754:2x 13x 29

311:311

278:2x 139

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 = 18513770288/(1x4)

LCM = 18513770288/4

LCM = 4628442572

Thus, we can understand that the LCM of 284,754,311,278 is 4628442572.

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

• LCM of 228, 754, 385, 398
• LCM of 184, 223, 576, 183
• LCM of 304, 256, 605, 334
• LCM of 996, 563, 386, 413
• LCM of 443, 108, 511, 309

1. What is the LCM of 284, 754, 311, 278?

Answer: LCM of 284, 754, 311, 278 is 4628442572.

2. How to calculate the LCM of 284, 754, 311, 278?

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 284, 754, 311, 278.

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}.