Given numbers are 205,624,892

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

The LCM of 205,624,892 is 28526160.

Find LCM of 205,624,892 with Prime Factorization

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

2 x 2 x 205 x 156 x 223 = 28526160

Therefore, the lowest common multiple of 205,624,892 is 28526160.

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.

205 x 624 x 892 = 114104640

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.

205 : 1, 5, 41, 205

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,624,892, is 1.

Now, the common factors can be found like this.

205:5x 41

624:2x 2x 2x 2x 3x 13

892:2x 2x 223

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 114104640/(1x4)

LCM = 114104640/4

LCM = 28526160

Thus, we can understand that the LCM of 205,624,892 is 28526160.

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

• LCM of 619, 769, 527
• LCM of 660, 242, 401
• LCM of 427, 352, 763
• LCM of 241, 978, 540
• LCM of 801, 261, 441

1. What is the LCM of 205, 624, 892?

Answer: LCM of 205, 624, 892 is 28526160.

2. How to calculate the LCM of 205, 624, 892?

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 205, 624, 892.

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}.