Given numbers are 102,214,130,720,655

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

The LCM of 102,214,130,720,655 is 2230385040.

Find LCM of 102,214,130,720,655 with Prime Factorization

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

2 x 3 x 5 x 17 x 107 x 13 x 24 x 131 = 2230385040

Therefore, the lowest common multiple of 102,214,130,720,655 is 2230385040.

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 214 x 130 x 720 x 655 = 1338231024000

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

214 : 1, 2, 107, 214

130 : 1, 2, 5, 10, 13, 26, 65, 130

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

655 : 1, 5, 131, 655

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,214,130,720,655, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

214:2x 107

130:2x 5x 13

720:2x 2x 2x 2x 3x 3x 5

655:5x 131

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 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 1338231024000/(1x600)

LCM = 1338231024000/600

LCM = 2230385040

Thus, we can understand that the LCM of 102,214,130,720,655 is 2230385040.

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

• LCM of 914, 259, 389, 813, 555
• LCM of 781, 884, 855, 301, 473
• LCM of 657, 805, 666, 683, 307
• LCM of 708, 104, 567, 725, 316
• LCM of 335, 660, 713, 478, 542

1. What is the LCM of 102, 214, 130, 720, 655?

Answer: LCM of 102, 214, 130, 720, 655 is 2230385040.

2. How to calculate the LCM of 102, 214, 130, 720, 655?

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, 214, 130, 720, 655.

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}.