Given numbers are 230,117,271,205

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

The LCM of 230,117,271,205 is 298997010.

Find LCM of 230,117,271,205 with Prime Factorization

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

5 x 46 x 117 x 271 x 41 = 298997010

Therefore, the lowest common multiple of 230,117,271,205 is 298997010.

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.

230 x 117 x 271 x 205 = 1494985050

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

117 : 1, 3, 9, 13, 39, 117

271 : 1, 271

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,117,271,205, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

117:3x 3x 13

271:271

205:5x 41

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

5 = 5

Therefore, the value for common factors is 5.

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 = 1494985050/(1x5)

LCM = 1494985050/5

LCM = 298997010

Thus, we can understand that the LCM of 230,117,271,205 is 298997010.

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

• LCM of 837, 584, 534, 252
• LCM of 283, 584, 933, 965
• LCM of 675, 150, 205, 470
• LCM of 650, 540, 155, 376
• LCM of 402, 525, 396, 725

1. What is the LCM of 230, 117, 271, 205?

Answer: LCM of 230, 117, 271, 205 is 298997010.

2. How to calculate the LCM of 230, 117, 271, 205?

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 230, 117, 271, 205.

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}.