Given numbers are 339,293,338,214

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

The LCM of 339,293,338,214 is 3592260282.

Find LCM of 339,293,338,214 with Prime Factorization

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

2 x 339 x 293 x 169 x 107 = 3592260282

Therefore, the lowest common multiple of 339,293,338,214 is 3592260282.

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.

339 x 293 x 338 x 214 = 7184520564

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.

339 : 1, 3, 113, 339

293 : 1, 293

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

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,293,338,214, is 1.

Now, the common factors can be found like this.

339:3x 113

293:293

338:2x 13x 13

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.

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 = 7184520564/(1x2)

LCM = 7184520564/2

LCM = 3592260282

Thus, we can understand that the LCM of 339,293,338,214 is 3592260282.

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

• LCM of 569, 778, 966, 127
• LCM of 403, 269, 173, 664
• LCM of 351, 506, 717, 180
• LCM of 919, 489, 917, 697
• LCM of 126, 143, 652, 849

1. What is the LCM of 339, 293, 338, 214?

Answer: LCM of 339, 293, 338, 214 is 3592260282.

2. How to calculate the LCM of 339, 293, 338, 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 339, 293, 338, 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}.