Given numbers are 852,104,324,912

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

The LCM of 852,104,324,912 is 22727952.

Find LCM of 852,104,324,912 with Prime Factorization

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

2 x 2 x 2 x 3 x 71 x 13 x 27 x 38 = 22727952

Therefore, the lowest common multiple of 852,104,324,912 is 22727952.

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.

852 x 104 x 324 x 912 = 26182600704

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

104 : 1, 2, 4, 8, 13, 26, 52, 104

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,104,324,912, is 4.

Now, the common factors can be found like this.

852:2x 2x 3x 71

104:2x 2x 2x 13

324:2x 2x 3x 3x 3x 3

912:2x 2x 2x 2x 3x 19

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 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 26182600704/(4x288)

LCM = 26182600704/1152

LCM = 22727952

Thus, we can understand that the LCM of 852,104,324,912 is 22727952.

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

• LCM of 602, 693, 760, 731
• LCM of 316, 699, 711, 388
• LCM of 686, 333, 597, 799
• LCM of 534, 857, 731, 186
• LCM of 960, 858, 175, 571

1. What is the LCM of 852, 104, 324, 912?

Answer: LCM of 852, 104, 324, 912 is 22727952.

2. How to calculate the LCM of 852, 104, 324, 912?

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 852, 104, 324, 912.

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}.