Given numbers are 238,800,782,478,398

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

The LCM of 238,800,782,478,398 is 104139565600.

Find LCM of 238,800,782,478,398 with Prime Factorization

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

2 x 17 x 7 x 400 x 23 x 239 x 199 = 104139565600

Therefore, the lowest common multiple of 238,800,782,478,398 is 104139565600.

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.

238 x 800 x 782 x 478 x 398 = 28325961843200

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

782 : 1, 2, 17, 23, 34, 46, 391, 782

478 : 1, 2, 239, 478

398 : 1, 2, 199, 398

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,800,782,478,398, is 2.

Now, the common factors can be found like this.

238:2x 7x 17

800:2x 2x 2x 2x 2x 5x 5

782:2x 17x 23

478:2x 239

398:2x 199

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 17 = 136

Therefore, the value for common factors is 136.

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 = 28325961843200/(2x136)

LCM = 28325961843200/272

LCM = 104139565600

Thus, we can understand that the LCM of 238,800,782,478,398 is 104139565600.

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

• LCM of 374, 237, 776, 685, 224
• LCM of 649, 372, 476, 973, 649
• LCM of 546, 230, 683, 621, 452
• LCM of 538, 377, 917, 765, 969
• LCM of 871, 884, 442, 842, 474

1. What is the LCM of 238, 800, 782, 478, 398?

Answer: LCM of 238, 800, 782, 478, 398 is 104139565600.

2. How to calculate the LCM of 238, 800, 782, 478, 398?

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 238, 800, 782, 478, 398.

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}.