Given numbers are 102,395,413,312

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

The LCM of 102,395,413,312 is 865268040.

Find LCM of 102,395,413,312 with Prime Factorization

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

2 x 3 x 17 x 395 x 413 x 52 = 865268040

Therefore, the lowest common multiple of 102,395,413,312 is 865268040.

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.

102 x 395 x 413 x 312 = 5191608240

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

395 : 1, 5, 79, 395

413 : 1, 7, 59, 413

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,395,413,312, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

395:5x 79

413:7x 59

312:2x 2x 2x 3x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 5191608240/(1x6)

LCM = 5191608240/6

LCM = 865268040

Thus, we can understand that the LCM of 102,395,413,312 is 865268040.

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

• LCM of 291, 745, 714, 723
• LCM of 277, 787, 545, 346
• LCM of 778, 918, 884, 657
• LCM of 762, 749, 253, 896
• LCM of 939, 998, 986, 722

1. What is the LCM of 102, 395, 413, 312?

Answer: LCM of 102, 395, 413, 312 is 865268040.

2. How to calculate the LCM of 102, 395, 413, 312?

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 102, 395, 413, 312.

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}.