Given numbers are 349,468,410,717

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

The LCM of 349,468,410,717 is 8002451340.

Find LCM of 349,468,410,717 with Prime Factorization

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

2 x 3 x 349 x 78 x 205 x 239 = 8002451340

Therefore, the lowest common multiple of 349,468,410,717 is 8002451340.

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.

349 x 468 x 410 x 717 = 48014708040

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.

349 : 1, 349

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

410 : 1, 2, 5, 10, 41, 82, 205, 410

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,468,410,717, is 1.

Now, the common factors can be found like this.

349:349

468:2x 2x 3x 3x 13

410:2x 5x 41

717:3x 239

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 = 48014708040/(1x6)

LCM = 48014708040/6

LCM = 8002451340

Thus, we can understand that the LCM of 349,468,410,717 is 8002451340.

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

• LCM of 460, 123, 837, 516
• LCM of 651, 700, 255, 422
• LCM of 331, 706, 130, 197
• LCM of 573, 978, 310, 732
• LCM of 834, 315, 369, 324

1. What is the LCM of 349, 468, 410, 717?

Answer: LCM of 349, 468, 410, 717 is 8002451340.

2. How to calculate the LCM of 349, 468, 410, 717?

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 349, 468, 410, 717.

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}.