Given numbers are 502,620,286,264,460

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

The LCM of 502,620,286,264,460 is 3071005080.

Find LCM of 502,620,286,264,460 with Prime Factorization

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

2 x 2 x 5 x 11 x 251 x 31 x 13 x 6 x 23 = 3071005080

Therefore, the lowest common multiple of 502,620,286,264,460 is 3071005080.

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.

502 x 620 x 286 x 264 x 460 = 10809937881600

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.

502 : 1, 2, 251, 502

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,620,286,264,460, is 2.

Now, the common factors can be found like this.

502:2x 251

620:2x 2x 5x 31

286:2x 11x 13

264:2x 2x 2x 3x 11

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 2x 5x 11 = 1760

Therefore, the value for common factors is 1760.

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 = 10809937881600/(2x1760)

LCM = 10809937881600/3520

LCM = 3071005080

Thus, we can understand that the LCM of 502,620,286,264,460 is 3071005080.

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

• LCM of 602, 982, 923, 249, 720
• LCM of 857, 371, 952, 704, 505
• LCM of 937, 206, 723, 358, 417
• LCM of 516, 685, 524, 186, 212
• LCM of 347, 165, 443, 526, 746

1. What is the LCM of 502, 620, 286, 264, 460?

Answer: LCM of 502, 620, 286, 264, 460 is 3071005080.

2. How to calculate the LCM of 502, 620, 286, 264, 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 502, 620, 286, 264, 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}.