Given numbers are 345,593,398,214

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

The LCM of 345,593,398,214 is 8712456810.

Find LCM of 345,593,398,214 with Prime Factorization

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

2 x 345 x 593 x 199 x 107 = 8712456810

Therefore, the lowest common multiple of 345,593,398,214 is 8712456810.

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.

345 x 593 x 398 x 214 = 17424913620

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

593 : 1, 593

398 : 1, 2, 199, 398

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,593,398,214, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

593:593

398:2x 199

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 = 17424913620/(1x2)

LCM = 17424913620/2

LCM = 8712456810

Thus, we can understand that the LCM of 345,593,398,214 is 8712456810.

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

• LCM of 700, 976, 661, 839
• LCM of 873, 240, 122, 281
• LCM of 471, 455, 863, 709
• LCM of 195, 523, 377, 423
• LCM of 750, 643, 226, 324

1. What is the LCM of 345, 593, 398, 214?

Answer: LCM of 345, 593, 398, 214 is 8712456810.

2. How to calculate the LCM of 345, 593, 398, 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 345, 593, 398, 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}.