Given numbers are 333,76,296,214

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

The LCM of 333,76,296,214 is 5415912.

Find LCM of 333,76,296,214 with Prime Factorization

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

2 x 2 x 37 x 9 x 19 x 2 x 107 = 5415912

Therefore, the lowest common multiple of 333,76,296,214 is 5415912.

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.

333 x 76 x 296 x 214 = 1603109952

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.

333 : 1, 3, 9, 37, 111, 333

76 : 1, 2, 4, 19, 38, 76

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

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,76,296,214, is 1.

Now, the common factors can be found like this.

333:3x 3x 37

76:2x 2x 19

296:2x 2x 2x 37

214:2x 107

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

2x 2x 2x 37 = 296

Therefore, the value for common factors is 296.

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 = 1603109952/(1x296)

LCM = 1603109952/296

LCM = 5415912

Thus, we can understand that the LCM of 333,76,296,214 is 5415912.

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

• LCM of 643, 20, 955, 604
• LCM of 567, 72, 961, 856
• LCM of 613, 95, 883, 410
• LCM of 914, 70, 649, 168
• LCM of 848, 36, 753, 353

1. What is the LCM of 333, 76, 296, 214?

Answer: LCM of 333, 76, 296, 214 is 5415912.

2. How to calculate the LCM of 333, 76, 296, 214?

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 333, 76, 296, 214.

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}.