Given numbers are 248,341,345,844,491

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

The LCM of 248,341,345,844,491 is 97505117160.

Find LCM of 248,341,345,844,491 with Prime Factorization

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

2 x 2 x 31 x 2 x 11 x 345 x 211 x 491 = 97505117160

Therefore, the lowest common multiple of 248,341,345,844,491 is 97505117160.

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.

248 x 341 x 345 x 844 x 491 = 12090634527840

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

341 : 1, 11, 31, 341

345 : 1, 3, 5, 15, 23, 69, 115, 345

844 : 1, 2, 4, 211, 422, 844

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,341,345,844,491, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

341:11x 31

345:3x 5x 23

844:2x 2x 211

491:491

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

2x 2x 31 = 124

Therefore, the value for common factors is 124.

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 = 12090634527840/(1x124)

LCM = 12090634527840/124

LCM = 97505117160

Thus, we can understand that the LCM of 248,341,345,844,491 is 97505117160.

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

• LCM of 132, 730, 771, 806, 663
• LCM of 710, 673, 888, 633, 115
• LCM of 171, 619, 111, 820, 605
• LCM of 530, 649, 392, 831, 247
• LCM of 744, 547, 500, 287, 615

1. What is the LCM of 248, 341, 345, 844, 491?

Answer: LCM of 248, 341, 345, 844, 491 is 97505117160.

2. How to calculate the LCM of 248, 341, 345, 844, 491?

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 248, 341, 345, 844, 491.

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}.