Given numbers are 102,454,507,708,420

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

The LCM of 102,454,507,708,420 is 16160797380.

Find LCM of 102,454,507,708,420 with Prime Factorization

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

2 x 2 x 3 x 17 x 227 x 169 x 59 x 35 = 16160797380

Therefore, the lowest common multiple of 102,454,507,708,420 is 16160797380.

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 454 x 507 x 708 x 420 = 6981464468160

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

454 : 1, 2, 227, 454

507 : 1, 3, 13, 39, 169, 507

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,454,507,708,420, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

454:2x 227

507:3x 13x 13

708:2x 2x 3x 59

420:2x 2x 3x 5x 7

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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 6981464468160/(1x432)

LCM = 6981464468160/432

LCM = 16160797380

Thus, we can understand that the LCM of 102,454,507,708,420 is 16160797380.

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

• LCM of 731, 263, 914, 938, 986
• LCM of 766, 232, 934, 852, 913
• LCM of 488, 966, 387, 640, 328
• LCM of 356, 269, 697, 738, 298
• LCM of 286, 426, 868, 601, 206

1. What is the LCM of 102, 454, 507, 708, 420?

Answer: LCM of 102, 454, 507, 708, 420 is 16160797380.

2. How to calculate the LCM of 102, 454, 507, 708, 420?

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, 454, 507, 708, 420.

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}.