Given numbers are 327,410,314,296

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

The LCM of 327,410,314,296 is 3115250520.

Find LCM of 327,410,314,296 with Prime Factorization

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

2 x 327 x 205 x 157 x 148 = 3115250520

Therefore, the lowest common multiple of 327,410,314,296 is 3115250520.

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.

327 x 410 x 314 x 296 = 12461002080

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.

327 : 1, 3, 109, 327

410 : 1, 2, 5, 10, 41, 82, 205, 410

314 : 1, 2, 157, 314

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,410,314,296, is 1.

Now, the common factors can be found like this.

327:3x 109

410:2x 5x 41

314:2x 157

296:2x 2x 2x 37

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 = 12461002080/(1x4)

LCM = 12461002080/4

LCM = 3115250520

Thus, we can understand that the LCM of 327,410,314,296 is 3115250520.

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

• LCM of 114, 343, 756, 413
• LCM of 460, 898, 967, 300
• LCM of 789, 462, 723, 183
• LCM of 328, 968, 634, 707
• LCM of 270, 194, 443, 777

1. What is the LCM of 327, 410, 314, 296?

Answer: LCM of 327, 410, 314, 296 is 3115250520.

2. How to calculate the LCM of 327, 410, 314, 296?

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 327, 410, 314, 296.

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}.