Given numbers are 514,460,366,417,460

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

The LCM of 514,460,366,417,460 is 3007162140.

Find LCM of 514,460,366,417,460 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 257 x 1 x 61 x 139 x 1 = 3007162140

Therefore, the lowest common multiple of 514,460,366,417,460 is 3007162140.

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.

514 x 460 x 366 x 417 x 460 = 16599535012800

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.

514 : 1, 2, 257, 514

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

366 : 1, 2, 3, 6, 61, 122, 183, 366

417 : 1, 3, 139, 417

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,460,366,417,460, is 1.

Now, the common factors can be found like this.

514:2x 257

460:2x 2x 5x 23

366:2x 3x 61

417:3x 139

460:2x 2x 5x 23

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 2x 2x 3x 5x 23 = 5520

Therefore, the value for common factors is 5520.

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 = 16599535012800/(1x5520)

LCM = 16599535012800/5520

LCM = 3007162140

Thus, we can understand that the LCM of 514,460,366,417,460 is 3007162140.

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

• LCM of 384, 905, 104, 308, 325
• LCM of 328, 387, 370, 943, 892
• LCM of 730, 227, 987, 840, 366
• LCM of 335, 333, 116, 559, 171
• LCM of 475, 132, 768, 326, 712

1. What is the LCM of 514, 460, 366, 417, 460?

Answer: LCM of 514, 460, 366, 417, 460 is 3007162140.

2. How to calculate the LCM of 514, 460, 366, 417, 460?

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 514, 460, 366, 417, 460.

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}.