Given numbers are 239,250,780,754,198

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

The LCM of 239,250,780,754,198 is 4460098500.

Find LCM of 239,250,780,754,198 with Prime Factorization

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

2 x 3 x 5 x 13 x 239 x 25 x 2 x 29 x 33 = 4460098500

Therefore, the lowest common multiple of 239,250,780,754,198 is 4460098500.

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.

239 x 250 x 780 x 754 x 198 = 6957753660000

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.

239 : 1, 239

250 : 1, 2, 5, 10, 25, 50, 125, 250

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,250,780,754,198, is 1.

Now, the common factors can be found like this.

239:239

250:2x 5x 5x 5

780:2x 2x 3x 5x 13

754:2x 13x 29

198:2x 3x 3x 11

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 3x 5x 13 = 1560

Therefore, the value for common factors is 1560.

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 = 6957753660000/(1x1560)

LCM = 6957753660000/1560

LCM = 4460098500

Thus, we can understand that the LCM of 239,250,780,754,198 is 4460098500.

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

• LCM of 295, 536, 890, 903, 357
• LCM of 279, 468, 989, 540, 263
• LCM of 500, 396, 321, 198, 677
• LCM of 591, 556, 789, 819, 173
• LCM of 741, 433, 428, 885, 468

1. What is the LCM of 239, 250, 780, 754, 198?

Answer: LCM of 239, 250, 780, 754, 198 is 4460098500.

2. How to calculate the LCM of 239, 250, 780, 754, 198?

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 239, 250, 780, 754, 198.

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}.