Given numbers are 396,852,989,825,324

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

The LCM of 396,852,989,825,324 is 6256512900.

Find LCM of 396,852,989,825,324 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 1 x 71 x 989 x 25 x 9 = 6256512900

Therefore, the lowest common multiple of 396,852,989,825,324 is 6256512900.

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.

396 x 852 x 989 x 825 x 324 = 89192847902400

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

989 : 1, 23, 43, 989

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,852,989,825,324, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

852:2x 2x 3x 71

989:23x 43

825:3x 5x 5x 11

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

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 3x 3x 3x 3x 11 = 14256

Therefore, the value for common factors is 14256.

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 = 89192847902400/(1x14256)

LCM = 89192847902400/14256

LCM = 6256512900

Thus, we can understand that the LCM of 396,852,989,825,324 is 6256512900.

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

• LCM of 413, 554, 159, 178, 741
• LCM of 920, 716, 656, 635, 333
• LCM of 101, 874, 727, 714, 703
• LCM of 602, 587, 112, 445, 553
• LCM of 628, 486, 206, 428, 646

1. What is the LCM of 396, 852, 989, 825, 324?

Answer: LCM of 396, 852, 989, 825, 324 is 6256512900.

2. How to calculate the LCM of 396, 852, 989, 825, 324?

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 396, 852, 989, 825, 324.

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}.