Given numbers are 313,311,180,164

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

The LCM of 313,311,180,164 is 718391340.

Find LCM of 313,311,180,164 with Prime Factorization

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

2 x 2 x 313 x 311 x 45 x 41 = 718391340

Therefore, the lowest common multiple of 313,311,180,164 is 718391340.

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.

313 x 311 x 180 x 164 = 2873565360

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.

313 : 1, 313

311 : 1, 311

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,311,180,164, is 1.

Now, the common factors can be found like this.

313:313

311:311

180:2x 2x 3x 3x 5

164:2x 2x 41

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2873565360/(1x4)

LCM = 2873565360/4

LCM = 718391340

Thus, we can understand that the LCM of 313,311,180,164 is 718391340.

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

• LCM of 589, 277, 231, 951
• LCM of 822, 308, 994, 887
• LCM of 381, 617, 755, 501
• LCM of 587, 369, 580, 166
• LCM of 736, 650, 249, 760

1. What is the LCM of 313, 311, 180, 164?

Answer: LCM of 313, 311, 180, 164 is 718391340.

2. How to calculate the LCM of 313, 311, 180, 164?

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 313, 311, 180, 164.

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}.