Given numbers are 183,135,361

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

The LCM of 183,135,361 is 2972835.

Find LCM of 183,135,361 with Prime Factorization

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

3 x 61 x 45 x 361 = 2972835

Therefore, the lowest common multiple of 183,135,361 is 2972835.

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.

183 x 135 x 361 = 8918505

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.

183 : 1, 3, 61, 183

135 : 1, 3, 5, 9, 15, 27, 45, 135

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 183,135,361, is 1.

Now, the common factors can be found like this.

183:3x 61

135:3x 3x 3x 5

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 8918505/(1x3)

LCM = 8918505/3

LCM = 2972835

Thus, we can understand that the LCM of 183,135,361 is 2972835.

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

• LCM of 845, 605, 430
• LCM of 399, 476, 376
• LCM of 235, 516, 521
• LCM of 187, 973, 793
• LCM of 606, 516, 840

1. What is the LCM of 183, 135, 361?

Answer: LCM of 183, 135, 361 is 2972835.

2. How to calculate the LCM of 183, 135, 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 183, 135, 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}.