Given numbers are 311,226,261,614

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

The LCM of 311,226,261,614 is 5631806322.

Find LCM of 311,226,261,614 with Prime Factorization

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

2 x 311 x 113 x 261 x 307 = 5631806322

Therefore, the lowest common multiple of 311,226,261,614 is 5631806322.

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.

311 x 226 x 261 x 614 = 11263612644

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.

311 : 1, 311

226 : 1, 2, 113, 226

261 : 1, 3, 9, 29, 87, 261

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,226,261,614, is 1.

Now, the common factors can be found like this.

311:311

226:2x 113

261:3x 3x 29

614:2x 307

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

2 = 2

Therefore, the value for common factors is 2.

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 = 11263612644/(1x2)

LCM = 11263612644/2

LCM = 5631806322

Thus, we can understand that the LCM of 311,226,261,614 is 5631806322.

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

• LCM of 541, 746, 969, 523
• LCM of 763, 501, 556, 300
• LCM of 222, 188, 588, 376
• LCM of 153, 728, 538, 854
• LCM of 450, 716, 591, 503

1. What is the LCM of 311, 226, 261, 614?

Answer: LCM of 311, 226, 261, 614 is 5631806322.

2. How to calculate the LCM of 311, 226, 261, 614?

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 311, 226, 261, 614.

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}.