Given numbers are 314,363,393,394

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

The LCM of 314,363,393,394 is 2941533474.

Find LCM of 314,363,393,394 with Prime Factorization

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

2 x 3 x 157 x 121 x 131 x 197 = 2941533474

Therefore, the lowest common multiple of 314,363,393,394 is 2941533474.

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 363 x 393 x 394 = 17649200844

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

363 : 1, 3, 11, 33, 121, 363

393 : 1, 3, 131, 393

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,363,393,394, is 1.

Now, the common factors can be found like this.

314:2x 157

363:3x 11x 11

393:3x 131

394:2x 197

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 17649200844/(1x6)

LCM = 17649200844/6

LCM = 2941533474

Thus, we can understand that the LCM of 314,363,393,394 is 2941533474.

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

• LCM of 338, 552, 434, 598
• LCM of 703, 622, 173, 879
• LCM of 881, 111, 465, 664
• LCM of 528, 252, 320, 175
• LCM of 167, 379, 898, 849

1. What is the LCM of 314, 363, 393, 394?

Answer: LCM of 314, 363, 393, 394 is 2941533474.

2. How to calculate the LCM of 314, 363, 393, 394?

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, 363, 393, 394.

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}.