Given numbers are 398,583,449,14

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

The LCM of 398,583,449,14 is 729282862.

Find LCM of 398,583,449,14 with Prime Factorization

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

2 x 199 x 583 x 449 x 7 = 729282862

Therefore, the lowest common multiple of 398,583,449,14 is 729282862.

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.

398 x 583 x 449 x 14 = 1458565724

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.

398 : 1, 2, 199, 398

583 : 1, 11, 53, 583

449 : 1, 449

14 : 1, 2, 7, 14

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,583,449,14, is 1.

Now, the common factors can be found like this.

398:2x 199

583:11x 53

449:449

14:2x 7

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 = 1458565724/(1x2)

LCM = 1458565724/2

LCM = 729282862

Thus, we can understand that the LCM of 398,583,449,14 is 729282862.

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

• LCM of 648, 641, 540, 14
• LCM of 330, 328, 441, 83
• LCM of 572, 428, 728, 75
• LCM of 215, 614, 667, 65
• LCM of 146, 974, 487, 59

1. What is the LCM of 398, 583, 449, 14?

Answer: LCM of 398, 583, 449, 14 is 729282862.

2. How to calculate the LCM of 398, 583, 449, 14?

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 398, 583, 449, 14.

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}.