Given numbers are 861,214,372,779,924

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

The LCM of 861,214,372,779,924 is 2387563332.

Find LCM of 861,214,372,779,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 41 x 1 x 107 x 31 x 19 x 11 = 2387563332

Therefore, the lowest common multiple of 861,214,372,779,924 is 2387563332.

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 214 x 372 x 779 x 924 = 49336608692448

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

214 : 1, 2, 107, 214

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

779 : 1, 19, 41, 779

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,214,372,779,924, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

214:2x 107

372:2x 2x 3x 31

779:19x 41

924:2x 2x 3x 7x 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 3x 7x 41 = 20664

Therefore, the value for common factors is 20664.

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 = 49336608692448/(1x20664)

LCM = 49336608692448/20664

LCM = 2387563332

Thus, we can understand that the LCM of 861,214,372,779,924 is 2387563332.

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

• LCM of 898, 340, 583, 208, 981
• LCM of 331, 432, 578, 575, 606
• LCM of 294, 598, 976, 416, 904
• LCM of 204, 524, 450, 822, 166
• LCM of 480, 685, 464, 268, 153

1. What is the LCM of 861, 214, 372, 779, 924?

Answer: LCM of 861, 214, 372, 779, 924 is 2387563332.

2. How to calculate the LCM of 861, 214, 372, 779, 924?

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, 214, 372, 779, 924.

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}.