Given numbers are 488,476,680,684,514

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

The LCM of 488,476,680,684,514 is 12760450920.

Find LCM of 488,476,680,684,514 with Prime Factorization

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

2 x 2 x 2 x 17 x 61 x 7 x 5 x 171 x 257 = 12760450920

Therefore, the lowest common multiple of 488,476,680,684,514 is 12760450920.

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.

488 x 476 x 680 x 684 x 514 = 55533482403840

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,476,680,684,514, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

476:2x 2x 7x 17

680:2x 2x 2x 5x 17

684:2x 2x 3x 3x 19

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 2x 2x 2x 2x 2x 2x 17 = 2176

Therefore, the value for common factors is 2176.

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 = 55533482403840/(2x2176)

LCM = 55533482403840/4352

LCM = 12760450920

Thus, we can understand that the LCM of 488,476,680,684,514 is 12760450920.

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

• LCM of 507, 668, 181, 262, 182
• LCM of 216, 306, 308, 601, 955
• LCM of 142, 628, 978, 667, 783
• LCM of 442, 986, 281, 753, 475
• LCM of 427, 168, 946, 598, 380

1. What is the LCM of 488, 476, 680, 684, 514?

Answer: LCM of 488, 476, 680, 684, 514 is 12760450920.

2. How to calculate the LCM of 488, 476, 680, 684, 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 488, 476, 680, 684, 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}.