Given numbers are 814,248,283,514

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

The LCM of 814,248,283,514 is 7341176216.

Find LCM of 814,248,283,514 with Prime Factorization

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

2 x 407 x 124 x 283 x 257 = 7341176216

Therefore, the lowest common multiple of 814,248,283,514 is 7341176216.

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.

814 x 248 x 283 x 514 = 29364704864

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

283 : 1, 283

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,248,283,514, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

248:2x 2x 2x 31

283:283

514:2x 257

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29364704864/(1x4)

LCM = 29364704864/4

LCM = 7341176216

Thus, we can understand that the LCM of 814,248,283,514 is 7341176216.

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

• LCM of 102, 169, 236, 765
• LCM of 150, 389, 410, 181
• LCM of 755, 329, 724, 755
• LCM of 812, 448, 566, 485
• LCM of 332, 783, 234, 292

1. What is the LCM of 814, 248, 283, 514?

Answer: LCM of 814, 248, 283, 514 is 7341176216.

2. How to calculate the LCM of 814, 248, 283, 514?

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 814, 248, 283, 514.

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}.