Given numbers are 380,286,539,551,750

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

The LCM of 380,286,539,551,750 is 5791285500.

Find LCM of 380,286,539,551,750 with Prime Factorization

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

2 x 5 x 11 x 19 x 2 x 13 x 49 x 29 x 75 = 5791285500

Therefore, the lowest common multiple of 380,286,539,551,750 is 5791285500.

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.

380 x 286 x 539 x 551 x 750 = 24207573390000

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.

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

539 : 1, 7, 11, 49, 77, 539

551 : 1, 19, 29, 551

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,286,539,551,750, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

286:2x 11x 13

539:7x 7x 11

551:19x 29

750:2x 3x 5x 5x 5

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 5x 11x 19 = 4180

Therefore, the value for common factors is 4180.

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 = 24207573390000/(1x4180)

LCM = 24207573390000/4180

LCM = 5791285500

Thus, we can understand that the LCM of 380,286,539,551,750 is 5791285500.

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

• LCM of 204, 598, 578, 297, 798
• LCM of 221, 402, 172, 623, 279
• LCM of 340, 255, 930, 621, 944
• LCM of 224, 615, 625, 548, 704
• LCM of 101, 460, 393, 739, 398

1. What is the LCM of 380, 286, 539, 551, 750?

Answer: LCM of 380, 286, 539, 551, 750 is 5791285500.

2. How to calculate the LCM of 380, 286, 539, 551, 750?

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 380, 286, 539, 551, 750.

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}.