Given numbers are 789,897,221,408,561

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

The LCM of 789,897,221,408,561 is 352922856.

Find LCM of 789,897,221,408,561 with Prime Factorization

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

3 x 13 x 17 x 263 x 23 x 1 x 8 x 11 = 352922856

Therefore, the lowest common multiple of 789,897,221,408,561 is 352922856.

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.

789 x 897 x 221 x 408 x 561 = 35800141589784

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.

789 : 1, 3, 263, 789

897 : 1, 3, 13, 23, 39, 69, 299, 897

221 : 1, 13, 17, 221

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,897,221,408,561, is 1.

Now, the common factors can be found like this.

789:3x 263

897:3x 13x 23

221:13x 17

408:2x 2x 2x 3x 17

561:3x 11x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 13x 17x 17 = 101439

Therefore, the value for common factors is 101439.

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 = 35800141589784/(1x101439)

LCM = 35800141589784/101439

LCM = 352922856

Thus, we can understand that the LCM of 789,897,221,408,561 is 352922856.

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

• LCM of 720, 599, 384, 482, 689
• LCM of 256, 257, 392, 794, 356
• LCM of 216, 377, 804, 527, 441
• LCM of 730, 630, 381, 455, 782
• LCM of 779, 550, 198, 655, 448

1. What is the LCM of 789, 897, 221, 408, 561?

Answer: LCM of 789, 897, 221, 408, 561 is 352922856.

2. How to calculate the LCM of 789, 897, 221, 408, 561?

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 789, 897, 221, 408, 561.

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}.