Given numbers are 135,211,249

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

The LCM of 135,211,249 is 2364255.

Find LCM of 135,211,249 with Prime Factorization

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

3 x 45 x 211 x 83 = 2364255

Therefore, the lowest common multiple of 135,211,249 is 2364255.

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.

135 x 211 x 249 = 7092765

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.

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

211 : 1, 211

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,211,249, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

211:211

249:3x 83

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 = 7092765/(1x3)

LCM = 7092765/3

LCM = 2364255

Thus, we can understand that the LCM of 135,211,249 is 2364255.

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

• LCM of 853, 786, 331
• LCM of 860, 876, 134
• LCM of 758, 946, 620
• LCM of 960, 530, 907
• LCM of 457, 547, 269

1. What is the LCM of 135, 211, 249?

Answer: LCM of 135, 211, 249 is 2364255.

2. How to calculate the LCM of 135, 211, 249?

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 135, 211, 249.

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}.