Given numbers are 207,449,612,675,408

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

The LCM of 207,449,612,675,408 is 948018600.

Find LCM of 207,449,612,675,408 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 23 x 449 x 1 x 75 x 2 = 948018600

Therefore, the lowest common multiple of 207,449,612,675,408 is 948018600.

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.

207 x 449 x 612 x 675 x 408 = 15665059346400

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.

207 : 1, 3, 9, 23, 69, 207

449 : 1, 449

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,449,612,675,408, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

449:449

612:2x 2x 3x 3x 17

675:3x 3x 3x 5x 5

408:2x 2x 2x 3x 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 3x 3x 3x 3x 3x 17 = 16524

Therefore, the value for common factors is 16524.

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 = 15665059346400/(1x16524)

LCM = 15665059346400/16524

LCM = 948018600

Thus, we can understand that the LCM of 207,449,612,675,408 is 948018600.

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

• LCM of 206, 784, 736, 233, 888
• LCM of 300, 831, 444, 788, 483
• LCM of 946, 685, 749, 475, 167
• LCM of 525, 908, 958, 620, 818
• LCM of 608, 145, 606, 299, 956

1. What is the LCM of 207, 449, 612, 675, 408?

Answer: LCM of 207, 449, 612, 675, 408 is 948018600.

2. How to calculate the LCM of 207, 449, 612, 675, 408?

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 207, 449, 612, 675, 408.

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}.