Given numbers are 407,900,324,939

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

The LCM of 407,900,324,939 is 1031867100.

Find LCM of 407,900,324,939 with Prime Factorization

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

2 x 2 x 3 x 3 x 407 x 25 x 9 x 313 = 1031867100

Therefore, the lowest common multiple of 407,900,324,939 is 1031867100.

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.

407 x 900 x 324 x 939 = 111441646800

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.

407 : 1, 11, 37, 407

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

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

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,900,324,939, is 1.

Now, the common factors can be found like this.

407:11x 37

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

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

939:3x 313

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 111441646800/(1x108)

LCM = 111441646800/108

LCM = 1031867100

Thus, we can understand that the LCM of 407,900,324,939 is 1031867100.

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

• LCM of 812, 706, 323, 995
• LCM of 942, 671, 254, 926
• LCM of 982, 154, 433, 704
• LCM of 660, 262, 322, 707
• LCM of 120, 339, 976, 378

1. What is the LCM of 407, 900, 324, 939?

Answer: LCM of 407, 900, 324, 939 is 1031867100.

2. How to calculate the LCM of 407, 900, 324, 939?

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 407, 900, 324, 939.

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}.