Given numbers are 493,289,323,181

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

The LCM of 493,289,323,181 is 28822259.

Find LCM of 493,289,323,181 with Prime Factorization

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

17 x 29 x 17 x 19 x 181 = 28822259

Therefore, the lowest common multiple of 493,289,323,181 is 28822259.

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 289 x 323 x 181 = 8329632851

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

289 : 1, 17, 289

323 : 1, 17, 19, 323

181 : 1, 181

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,289,323,181, is 1.

Now, the common factors can be found like this.

493:17x 29

289:17x 17

323:17x 19

181:181

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 8329632851/(1x289)

LCM = 8329632851/289

LCM = 28822259

Thus, we can understand that the LCM of 493,289,323,181 is 28822259.

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

• LCM of 914, 767, 160, 484
• LCM of 900, 174, 393, 635
• LCM of 185, 884, 685, 278
• LCM of 851, 152, 784, 636
• LCM of 153, 464, 333, 189

1. What is the LCM of 493, 289, 323, 181?

Answer: LCM of 493, 289, 323, 181 is 28822259.

2. How to calculate the LCM of 493, 289, 323, 181?

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, 289, 323, 181.

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}.