Given numbers are 251,364,274,689,286

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

The LCM of 251,364,274,689,286 is 7297334044.

Find LCM of 251,364,274,689,286 with Prime Factorization

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

2 x 13 x 251 x 14 x 137 x 53 x 11 = 7297334044

Therefore, the lowest common multiple of 251,364,274,689,286 is 7297334044.

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.

251 x 364 x 274 x 689 x 286 = 4932997813744

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.

251 : 1, 251

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

274 : 1, 2, 137, 274

689 : 1, 13, 53, 689

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,364,274,689,286, is 1.

Now, the common factors can be found like this.

251:251

364:2x 2x 7x 13

274:2x 137

689:13x 53

286:2x 11x 13

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 4932997813744/(1x676)

LCM = 4932997813744/676

LCM = 7297334044

Thus, we can understand that the LCM of 251,364,274,689,286 is 7297334044.

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

• LCM of 382, 505, 207, 195, 558
• LCM of 808, 960, 409, 836, 974
• LCM of 699, 414, 724, 320, 328
• LCM of 432, 728, 246, 509, 944
• LCM of 129, 364, 600, 418, 647

1. What is the LCM of 251, 364, 274, 689, 286?

Answer: LCM of 251, 364, 274, 689, 286 is 7297334044.

2. How to calculate the LCM of 251, 364, 274, 689, 286?

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 251, 364, 274, 689, 286.

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}.