Given numbers are 314,622,330,424

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

The LCM of 314,622,330,424 is 3415936920.

Find LCM of 314,622,330,424 with Prime Factorization

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

2 x 157 x 311 x 165 x 212 = 3415936920

Therefore, the lowest common multiple of 314,622,330,424 is 3415936920.

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 622 x 330 x 424 = 27327495360

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

622 : 1, 2, 311, 622

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

424 : 1, 2, 4, 8, 53, 106, 212, 424

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,622,330,424, is 2.

Now, the common factors can be found like this.

314:2x 157

622:2x 311

330:2x 3x 5x 11

424:2x 2x 2x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 27327495360/(2x4)

LCM = 27327495360/8

LCM = 3415936920

Thus, we can understand that the LCM of 314,622,330,424 is 3415936920.

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

• LCM of 126, 776, 452, 985
• LCM of 123, 517, 520, 252
• LCM of 121, 294, 569, 104
• LCM of 708, 451, 871, 605
• LCM of 272, 150, 766, 935

1. What is the LCM of 314, 622, 330, 424?

Answer: LCM of 314, 622, 330, 424 is 3415936920.

2. How to calculate the LCM of 314, 622, 330, 424?

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, 622, 330, 424.

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}.