Given numbers are 314,331,581,338

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

The LCM of 314,331,581,338 is 10205175526.

Find LCM of 314,331,581,338 with Prime Factorization

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

2 x 157 x 331 x 581 x 169 = 10205175526

Therefore, the lowest common multiple of 314,331,581,338 is 10205175526.

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.

314 x 331 x 581 x 338 = 20410351052

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.

314 : 1, 2, 157, 314

331 : 1, 331

581 : 1, 7, 83, 581

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,331,581,338, is 1.

Now, the common factors can be found like this.

314:2x 157

331:331

581:7x 83

338:2x 13x 13

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 = 20410351052/(1x2)

LCM = 20410351052/2

LCM = 10205175526

Thus, we can understand that the LCM of 314,331,581,338 is 10205175526.

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

• LCM of 147, 959, 764, 670
• LCM of 881, 111, 969, 735
• LCM of 315, 250, 751, 388
• LCM of 573, 714, 538, 734
• LCM of 441, 994, 259, 999

1. What is the LCM of 314, 331, 581, 338?

Answer: LCM of 314, 331, 581, 338 is 10205175526.

2. How to calculate the LCM of 314, 331, 581, 338?

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 314, 331, 581, 338.

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}.