Given numbers are 277,383,284,380

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

The LCM of 277,383,284,380 is 2862335180.

Find LCM of 277,383,284,380 with Prime Factorization

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

2 x 2 x 277 x 383 x 71 x 95 = 2862335180

Therefore, the lowest common multiple of 277,383,284,380 is 2862335180.

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.

277 x 383 x 284 x 380 = 11449340720

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.

277 : 1, 277

383 : 1, 383

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,383,284,380, is 1.

Now, the common factors can be found like this.

277:277

383:383

284:2x 2x 71

380:2x 2x 5x 19

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 = 11449340720/(1x4)

LCM = 11449340720/4

LCM = 2862335180

Thus, we can understand that the LCM of 277,383,284,380 is 2862335180.

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

• LCM of 758, 145, 879, 729
• LCM of 671, 445, 372, 837
• LCM of 479, 380, 551, 866
• LCM of 825, 716, 608, 576
• LCM of 184, 281, 568, 962

1. What is the LCM of 277, 383, 284, 380?

Answer: LCM of 277, 383, 284, 380 is 2862335180.

2. How to calculate the LCM of 277, 383, 284, 380?

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 277, 383, 284, 380.

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}.