Given numbers are 493,493,365,449

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

The LCM of 493,493,365,449 is 80795305.

Find LCM of 493,493,365,449 with Prime Factorization

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

17 x 29 x 1 x 1 x 365 x 449 = 80795305

Therefore, the lowest common multiple of 493,493,365,449 is 80795305.

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.

493 x 493 x 365 x 449 = 39832085365

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.

493 : 1, 17, 29, 493

493 : 1, 17, 29, 493

365 : 1, 5, 73, 365

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,493,365,449, is 1.

Now, the common factors can be found like this.

493:17x 29

493:17x 29

365:5x 73

449:449

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

17x 29 = 493

Therefore, the value for common factors is 493.

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 = 39832085365/(1x493)

LCM = 39832085365/493

LCM = 80795305

Thus, we can understand that the LCM of 493,493,365,449 is 80795305.

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

• LCM of 151, 511, 358, 680
• LCM of 785, 677, 216, 305
• LCM of 481, 787, 890, 212
• LCM of 744, 129, 761, 607
• LCM of 986, 965, 553, 551

1. What is the LCM of 493, 493, 365, 449?

Answer: LCM of 493, 493, 365, 449 is 80795305.

2. How to calculate the LCM of 493, 493, 365, 449?

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 493, 493, 365, 449.

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}.