Given numbers are 939,388,150,914,900

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

The LCM of 939,388,150,914,900 is 12487479300.

Find LCM of 939,388,150,914,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 313 x 97 x 1 x 457 x 3 = 12487479300

Therefore, the lowest common multiple of 939,388,150,914,900 is 12487479300.

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.

939 x 388 x 150 x 914 x 900 = 44954925480000

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.

939 : 1, 3, 313, 939

388 : 1, 2, 4, 97, 194, 388

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

914 : 1, 2, 457, 914

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,388,150,914,900, is 1.

Now, the common factors can be found like this.

939:3x 313

388:2x 2x 97

150:2x 3x 5x 5

914:2x 457

900:2x 2x 3x 3x 5x 5

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 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 44954925480000/(1x3600)

LCM = 44954925480000/3600

LCM = 12487479300

Thus, we can understand that the LCM of 939,388,150,914,900 is 12487479300.

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

• LCM of 410, 438, 131, 682, 873
• LCM of 769, 928, 925, 483, 851
• LCM of 983, 422, 734, 914, 287
• LCM of 670, 583, 696, 384, 806
• LCM of 196, 809, 116, 432, 643

1. What is the LCM of 939, 388, 150, 914, 900?

Answer: LCM of 939, 388, 150, 914, 900 is 12487479300.

2. How to calculate the LCM of 939, 388, 150, 914, 900?

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 939, 388, 150, 914, 900.

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}.