Given numbers are 684,426,454,717,510

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

The LCM of 684,426,454,717,510 is 223953128820.

Find LCM of 684,426,454,717,510 with Prime Factorization

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

2 x 3 x 114 x 71 x 227 x 239 x 85 = 223953128820

Therefore, the lowest common multiple of 684,426,454,717,510 is 223953128820.

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.

684 x 426 x 454 x 717 x 510 = 48373875825120

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

426 : 1, 2, 3, 6, 71, 142, 213, 426

454 : 1, 2, 227, 454

717 : 1, 3, 239, 717

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,426,454,717,510, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

426:2x 3x 71

454:2x 227

717:3x 239

510:2x 3x 5x 17

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 3 = 216

Therefore, the value for common factors is 216.

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 = 48373875825120/(1x216)

LCM = 48373875825120/216

LCM = 223953128820

Thus, we can understand that the LCM of 684,426,454,717,510 is 223953128820.

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

• LCM of 233, 578, 200, 646, 268
• LCM of 286, 520, 257, 578, 325
• LCM of 270, 885, 687, 293, 416
• LCM of 834, 709, 337, 656, 616
• LCM of 818, 560, 481, 405, 404

1. What is the LCM of 684, 426, 454, 717, 510?

Answer: LCM of 684, 426, 454, 717, 510 is 223953128820.

2. How to calculate the LCM of 684, 426, 454, 717, 510?

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 684, 426, 454, 717, 510.

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}.