Given numbers are 111,135,313

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

The LCM of 111,135,313 is 1563435.

Find LCM of 111,135,313 with Prime Factorization

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

3 x 37 x 45 x 313 = 1563435

Therefore, the lowest common multiple of 111,135,313 is 1563435.

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.

111 x 135 x 313 = 4690305

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.

111 : 1, 3, 37, 111

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

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,135,313, is 1.

Now, the common factors can be found like this.

111:3x 37

135:3x 3x 3x 5

313:313

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 = 4690305/(1x3)

LCM = 4690305/3

LCM = 1563435

Thus, we can understand that the LCM of 111,135,313 is 1563435.

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

• LCM of 223, 304, 396
• LCM of 245, 956, 882
• LCM of 686, 505, 352
• LCM of 895, 210, 590
• LCM of 203, 393, 357

1. What is the LCM of 111, 135, 313?

Answer: LCM of 111, 135, 313 is 1563435.

2. How to calculate the LCM of 111, 135, 313?

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 111, 135, 313.

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}.