Given numbers are 205,389,369,764

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

The LCM of 205,389,369,764 is 548326620.

Find LCM of 205,389,369,764 with Prime Factorization

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

41 x 5 x 389 x 9 x 764 = 548326620

Therefore, the lowest common multiple of 205,389,369,764 is 548326620.

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 389 x 369 x 764 = 22481391420

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

389 : 1, 389

369 : 1, 3, 9, 41, 123, 369

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,389,369,764, is 1.

Now, the common factors can be found like this.

205:5x 41

389:389

369:3x 3x 41

764:2x 2x 191

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

41 = 41

Therefore, the value for common factors is 41.

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 = 22481391420/(1x41)

LCM = 22481391420/41

LCM = 548326620

Thus, we can understand that the LCM of 205,389,369,764 is 548326620.

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

• LCM of 439, 405, 315, 264
• LCM of 791, 318, 715, 978
• LCM of 748, 993, 551, 165
• LCM of 621, 684, 321, 784
• LCM of 804, 785, 882, 379

1. What is the LCM of 205, 389, 369, 764?

Answer: LCM of 205, 389, 369, 764 is 548326620.

2. How to calculate the LCM of 205, 389, 369, 764?

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, 389, 369, 764.

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}.