Given numbers are 385,351,311,814

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

The LCM of 385,351,311,814 is 3109996890.

Find LCM of 385,351,311,814 with Prime Factorization

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

11 x 35 x 351 x 311 x 74 = 3109996890

Therefore, the lowest common multiple of 385,351,311,814 is 3109996890.

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.

385 x 351 x 311 x 814 = 34209965790

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

351 : 1, 3, 9, 13, 27, 39, 117, 351

311 : 1, 311

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,351,311,814, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

351:3x 3x 3x 13

311:311

814:2x 11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 34209965790/(1x11)

LCM = 34209965790/11

LCM = 3109996890

Thus, we can understand that the LCM of 385,351,311,814 is 3109996890.

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

• LCM of 398, 996, 839, 739
• LCM of 941, 241, 494, 819
• LCM of 270, 626, 970, 558
• LCM of 432, 945, 455, 852
• LCM of 355, 463, 824, 364

1. What is the LCM of 385, 351, 311, 814?

Answer: LCM of 385, 351, 311, 814 is 3109996890.

2. How to calculate the LCM of 385, 351, 311, 814?

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 385, 351, 311, 814.

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}.