Given numbers are 300,491,593,993,939

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

The LCM of 300,491,593,993,939 is 9049608086700.

Find LCM of 300,491,593,993,939 with Prime Factorization

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

3 x 100 x 491 x 593 x 331 x 313 = 9049608086700

Therefore, the lowest common multiple of 300,491,593,993,939 is 9049608086700.

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.

300 x 491 x 593 x 993 x 939 = 81446472780300

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

491 : 1, 491

593 : 1, 593

993 : 1, 3, 331, 993

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,491,593,993,939, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

491:491

593:593

993:3x 331

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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 81446472780300/(1x9)

LCM = 81446472780300/9

LCM = 9049608086700

Thus, we can understand that the LCM of 300,491,593,993,939 is 9049608086700.

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

• LCM of 507, 977, 996, 670, 766
• LCM of 288, 106, 174, 416, 962
• LCM of 130, 816, 464, 185, 727
• LCM of 931, 532, 747, 674, 536
• LCM of 769, 847, 249, 900, 233

1. What is the LCM of 300, 491, 593, 993, 939?

Answer: LCM of 300, 491, 593, 993, 939 is 9049608086700.

2. How to calculate the LCM of 300, 491, 593, 993, 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 300, 491, 593, 993, 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}.