Given numbers are 689,258,838,883,514

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

The LCM of 689,258,838,883,514 is 16902337828818.

Find LCM of 689,258,838,883,514 with Prime Factorization

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

2 x 689 x 129 x 419 x 883 x 257 = 16902337828818

Therefore, the lowest common multiple of 689,258,838,883,514 is 16902337828818.

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.

689 x 258 x 838 x 883 x 514 = 67609351315272

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.

689 : 1, 13, 53, 689

258 : 1, 2, 3, 6, 43, 86, 129, 258

838 : 1, 2, 419, 838

883 : 1, 883

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,258,838,883,514, is 1.

Now, the common factors can be found like this.

689:13x 53

258:2x 3x 43

838:2x 419

883:883

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 = 67609351315272/(1x4)

LCM = 67609351315272/4

LCM = 16902337828818

Thus, we can understand that the LCM of 689,258,838,883,514 is 16902337828818.

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

• LCM of 632, 671, 379, 117, 484
• LCM of 717, 977, 945, 327, 242
• LCM of 676, 361, 683, 132, 336
• LCM of 412, 204, 807, 114, 957
• LCM of 758, 178, 531, 229, 170

1. What is the LCM of 689, 258, 838, 883, 514?

Answer: LCM of 689, 258, 838, 883, 514 is 16902337828818.

2. How to calculate the LCM of 689, 258, 838, 883, 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 689, 258, 838, 883, 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}.