Given numbers are 493,687,264,394

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

The LCM of 493,687,264,394 is 5871547176.

Find LCM of 493,687,264,394 with Prime Factorization

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

2 x 3 x 493 x 229 x 44 x 197 = 5871547176

Therefore, the lowest common multiple of 493,687,264,394 is 5871547176.

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 687 x 264 x 394 = 35229283056

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

687 : 1, 3, 229, 687

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,687,264,394, is 1.

Now, the common factors can be found like this.

493:17x 29

687:3x 229

264:2x 2x 2x 3x 11

394:2x 197

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 35229283056/(1x6)

LCM = 35229283056/6

LCM = 5871547176

Thus, we can understand that the LCM of 493,687,264,394 is 5871547176.

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

• LCM of 605, 255, 200, 869
• LCM of 213, 512, 881, 361
• LCM of 256, 891, 944, 991
• LCM of 245, 738, 204, 512
• LCM of 570, 984, 905, 811

1. What is the LCM of 493, 687, 264, 394?

Answer: LCM of 493, 687, 264, 394 is 5871547176.

2. How to calculate the LCM of 493, 687, 264, 394?

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, 687, 264, 394.

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}.