Given numbers are 381,395,825,936,515

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

The LCM of 381,395,825,936,515 is 265996902600.

Find LCM of 381,395,825,936,515 with Prime Factorization

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

3 x 5 x 127 x 79 x 55 x 312 x 103 = 265996902600

Therefore, the lowest common multiple of 381,395,825,936,515 is 265996902600.

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.

381 x 395 x 825 x 936 x 515 = 59849303085000

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.

381 : 1, 3, 127, 381

395 : 1, 5, 79, 395

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,395,825,936,515, is 1.

Now, the common factors can be found like this.

381:3x 127

395:5x 79

825:3x 5x 5x 11

936:2x 2x 2x 3x 3x 13

515:5x 103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 59849303085000/(1x225)

LCM = 59849303085000/225

LCM = 265996902600

Thus, we can understand that the LCM of 381,395,825,936,515 is 265996902600.

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

• LCM of 429, 669, 284, 278, 420
• LCM of 405, 816, 374, 190, 240
• LCM of 566, 196, 273, 977, 154
• LCM of 914, 472, 925, 702, 248
• LCM of 913, 170, 897, 379, 376

1. What is the LCM of 381, 395, 825, 936, 515?

Answer: LCM of 381, 395, 825, 936, 515 is 265996902600.

2. How to calculate the LCM of 381, 395, 825, 936, 515?

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 381, 395, 825, 936, 515.

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}.