Given numbers are 861,924,770,417

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

The LCM of 861,924,770,417 is 26329380.

Find LCM of 861,924,770,417 with Prime Factorization

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

2 x 3 x 7 x 11 x 41 x 2 x 5 x 139 = 26329380

Therefore, the lowest common multiple of 861,924,770,417 is 26329380.

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.

861 x 924 x 770 x 417 = 255447644760

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,924,770,417, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

924:2x 2x 3x 7x 11

770:2x 5x 7x 11

417:3x 139

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

2x 3x 3x 7x 7x 11 = 9702

Therefore, the value for common factors is 9702.

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 = 255447644760/(1x9702)

LCM = 255447644760/9702

LCM = 26329380

Thus, we can understand that the LCM of 861,924,770,417 is 26329380.

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

• LCM of 846, 748, 726, 147
• LCM of 722, 217, 753, 690
• LCM of 995, 362, 961, 867
• LCM of 290, 156, 595, 159
• LCM of 723, 215, 375, 414

1. What is the LCM of 861, 924, 770, 417?

Answer: LCM of 861, 924, 770, 417 is 26329380.

2. How to calculate the LCM of 861, 924, 770, 417?

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 861, 924, 770, 417.

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}.