Given numbers are 585,106,914,484,484

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

The LCM of 585,106,914,484,484 is 6857933940.

Find LCM of 585,106,914,484,484 with Prime Factorization

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

2 x 2 x 11 x 11 x 585 x 53 x 457 x 1 x 1 = 6857933940

Therefore, the lowest common multiple of 585,106,914,484,484 is 6857933940.

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.

585 x 106 x 914 x 484 x 484 = 13276960107840

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

106 : 1, 2, 53, 106

914 : 1, 2, 457, 914

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,106,914,484,484, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

106:2x 53

914:2x 457

484:2x 2x 11x 11

484:2x 2x 11x 11

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 11x 11 = 1936

Therefore, the value for common factors is 1936.

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 = 13276960107840/(1x1936)

LCM = 13276960107840/1936

LCM = 6857933940

Thus, we can understand that the LCM of 585,106,914,484,484 is 6857933940.

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

• LCM of 328, 420, 241, 785, 971
• LCM of 574, 643, 993, 266, 390
• LCM of 155, 269, 572, 134, 824
• LCM of 644, 279, 560, 424, 749
• LCM of 219, 585, 663, 748, 822

1. What is the LCM of 585, 106, 914, 484, 484?

Answer: LCM of 585, 106, 914, 484, 484 is 6857933940.

2. How to calculate the LCM of 585, 106, 914, 484, 484?

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 585, 106, 914, 484, 484.

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}.