Given numbers are 207,715,408,880

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

The LCM of 207,715,408,880 is 40257360.

Find LCM of 207,715,408,880 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 69 x 13 x 17 x 2 = 40257360

Therefore, the lowest common multiple of 207,715,408,880 is 40257360.

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 715 x 408 x 880 = 53139715200

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

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

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,715,408,880, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

715:5x 11x 13

408:2x 2x 2x 3x 17

880:2x 2x 2x 2x 5x 11

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 11 = 1320

Therefore, the value for common factors is 1320.

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 = 53139715200/(1x1320)

LCM = 53139715200/1320

LCM = 40257360

Thus, we can understand that the LCM of 207,715,408,880 is 40257360.

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

• LCM of 422, 502, 787, 554
• LCM of 570, 785, 591, 747
• LCM of 607, 144, 566, 218
• LCM of 369, 363, 506, 997
• LCM of 564, 796, 554, 921

1. What is the LCM of 207, 715, 408, 880?

Answer: LCM of 207, 715, 408, 880 is 40257360.

2. How to calculate the LCM of 207, 715, 408, 880?

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, 715, 408, 880.

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}.