Given numbers are 205,102,109,323

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

The LCM of 205,102,109,323 is 43304610.

Find LCM of 205,102,109,323 with Prime Factorization

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

17 x 205 x 6 x 109 x 19 = 43304610

Therefore, the lowest common multiple of 205,102,109,323 is 43304610.

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 102 x 109 x 323 = 736178370

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

109 : 1, 109

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,102,109,323, is 1.

Now, the common factors can be found like this.

205:5x 41

102:2x 3x 17

109:109

323:17x 19

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

17 = 17

Therefore, the value for common factors is 17.

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 = 736178370/(1x17)

LCM = 736178370/17

LCM = 43304610

Thus, we can understand that the LCM of 205,102,109,323 is 43304610.

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

• LCM of 877, 807, 826, 416
• LCM of 934, 731, 606, 210
• LCM of 951, 572, 731, 356
• LCM of 446, 856, 551, 702
• LCM of 755, 319, 440, 770

1. What is the LCM of 205, 102, 109, 323?

Answer: LCM of 205, 102, 109, 323 is 43304610.

2. How to calculate the LCM of 205, 102, 109, 323?

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, 102, 109, 323.

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}.