Given numbers are 102,502,234,408,790

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

The LCM of 102,502,234,408,790 is 1577595240.

Find LCM of 102,502,234,408,790 with Prime Factorization

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

2 x 3 x 17 x 1 x 251 x 39 x 4 x 395 = 1577595240

Therefore, the lowest common multiple of 102,502,234,408,790 is 1577595240.

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 502 x 234 x 408 x 790 = 3861953147520

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

502 : 1, 2, 251, 502

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

790 : 1, 2, 5, 10, 79, 158, 395, 790

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,502,234,408,790, is 2.

Now, the common factors can be found like this.

102:2x 3x 17

502:2x 251

234:2x 3x 3x 13

408:2x 2x 2x 3x 17

790:2x 5x 79

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 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 3861953147520/(2x1224)

LCM = 3861953147520/2448

LCM = 1577595240

Thus, we can understand that the LCM of 102,502,234,408,790 is 1577595240.

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

• LCM of 381, 285, 983, 191, 454
• LCM of 825, 900, 247, 953, 614
• LCM of 386, 535, 166, 915, 327
• LCM of 584, 903, 606, 449, 781
• LCM of 654, 158, 620, 607, 574

1. What is the LCM of 102, 502, 234, 408, 790?

Answer: LCM of 102, 502, 234, 408, 790 is 1577595240.

2. How to calculate the LCM of 102, 502, 234, 408, 790?

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, 502, 234, 408, 790.

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}.