Given numbers are 305,244,403,493

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

The LCM of 305,244,403,493 is 242388380.

Find LCM of 305,244,403,493 with Prime Factorization

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

61 x 5 x 4 x 403 x 493 = 242388380

Therefore, the lowest common multiple of 305,244,403,493 is 242388380.

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.

305 x 244 x 403 x 493 = 14785691180

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.

305 : 1, 5, 61, 305

244 : 1, 2, 4, 61, 122, 244

403 : 1, 13, 31, 403

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,244,403,493, is 1.

Now, the common factors can be found like this.

305:5x 61

244:2x 2x 61

403:13x 31

493:17x 29

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

61 = 61

Therefore, the value for common factors is 61.

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 = 14785691180/(1x61)

LCM = 14785691180/61

LCM = 242388380

Thus, we can understand that the LCM of 305,244,403,493 is 242388380.

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

• LCM of 361, 678, 339, 894
• LCM of 392, 721, 621, 624
• LCM of 447, 701, 899, 615
• LCM of 532, 228, 380, 317
• LCM of 999, 697, 653, 556

1. What is the LCM of 305, 244, 403, 493?

Answer: LCM of 305, 244, 403, 493 is 242388380.

2. How to calculate the LCM of 305, 244, 403, 493?

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 305, 244, 403, 493.

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}.