Given numbers are 129,114,361

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

The LCM of 129,114,361 is 93138.

Find LCM of 129,114,361 with Prime Factorization

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

3 x 19 x 43 x 2 x 19 = 93138

Therefore, the lowest common multiple of 129,114,361 is 93138.

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.

129 x 114 x 361 = 5308866

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.

129 : 1, 3, 43, 129

114 : 1, 2, 3, 6, 19, 38, 57, 114

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,114,361, is 1.

Now, the common factors can be found like this.

129:3x 43

114:2x 3x 19

361:19x 19

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 5308866/(1x57)

LCM = 5308866/57

LCM = 93138

Thus, we can understand that the LCM of 129,114,361 is 93138.

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

• LCM of 551, 904, 196
• LCM of 546, 495, 422
• LCM of 735, 113, 531
• LCM of 303, 417, 989
• LCM of 702, 605, 802

1. What is the LCM of 129, 114, 361?

Answer: LCM of 129, 114, 361 is 93138.

2. How to calculate the LCM of 129, 114, 361?

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 129, 114, 361.

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}.