Given numbers are 383,460,614,34

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

The LCM of 383,460,614,34 is 919483420.

Find LCM of 383,460,614,34 with Prime Factorization

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

2 x 383 x 230 x 307 x 17 = 919483420

Therefore, the lowest common multiple of 383,460,614,34 is 919483420.

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.

383 x 460 x 614 x 34 = 3677933680

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.

383 : 1, 383

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

614 : 1, 2, 307, 614

34 : 1, 2, 17, 34

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,460,614,34, is 1.

Now, the common factors can be found like this.

383:383

460:2x 2x 5x 23

614:2x 307

34:2x 17

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 = 3677933680/(1x4)

LCM = 3677933680/4

LCM = 919483420

Thus, we can understand that the LCM of 383,460,614,34 is 919483420.

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

• LCM of 427, 187, 307, 82
• LCM of 247, 673, 848, 38
• LCM of 323, 115, 247, 71
• LCM of 707, 808, 373, 68
• LCM of 997, 434, 134, 41

1. What is the LCM of 383, 460, 614, 34?

Answer: LCM of 383, 460, 614, 34 is 919483420.

2. How to calculate the LCM of 383, 460, 614, 34?

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 383, 460, 614, 34.

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}.