Given numbers are 205,128,323,190

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

The LCM of 205,128,323,190 is 8475520.

Find LCM of 205,128,323,190 with Prime Factorization

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

2 x 5 x 19 x 41 x 64 x 17 x 1 = 8475520

Therefore, the lowest common multiple of 205,128,323,190 is 8475520.

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 128 x 323 x 190 = 1610348800

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

323 : 1, 17, 19, 323

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,128,323,190, is 1.

Now, the common factors can be found like this.

205:5x 41

128:2x 2x 2x 2x 2x 2x 2

323:17x 19

190:2x 5x 19

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

2x 5x 19 = 190

Therefore, the value for common factors is 190.

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 = 1610348800/(1x190)

LCM = 1610348800/190

LCM = 8475520

Thus, we can understand that the LCM of 205,128,323,190 is 8475520.

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

• LCM of 795, 954, 582, 150
• LCM of 493, 816, 251, 146
• LCM of 688, 766, 110, 568
• LCM of 222, 117, 512, 876
• LCM of 721, 540, 968, 746

1. What is the LCM of 205, 128, 323, 190?

Answer: LCM of 205, 128, 323, 190 is 8475520.

2. How to calculate the LCM of 205, 128, 323, 190?

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, 128, 323, 190.

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}.