Given numbers are 104,205,204,214

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

The LCM of 104,205,204,214 is 116343240.

Find LCM of 104,205,204,214 with Prime Factorization

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

2 x 2 x 26 x 205 x 51 x 107 = 116343240

Therefore, the lowest common multiple of 104,205,204,214 is 116343240.

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.

104 x 205 x 204 x 214 = 930745920

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

205 : 1, 5, 41, 205

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,205,204,214, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

205:5x 41

204:2x 2x 3x 17

214:2x 107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 930745920/(1x8)

LCM = 930745920/8

LCM = 116343240

Thus, we can understand that the LCM of 104,205,204,214 is 116343240.

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

• LCM of 406, 371, 970, 494
• LCM of 461, 245, 398, 728
• LCM of 100, 816, 996, 714
• LCM of 408, 142, 654, 738
• LCM of 856, 897, 914, 365

1. What is the LCM of 104, 205, 204, 214?

Answer: LCM of 104, 205, 204, 214 is 116343240.

2. How to calculate the LCM of 104, 205, 204, 214?

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 104, 205, 204, 214.

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}.