Given numbers are 566,684,466,427,460

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

The LCM of 566,684,466,427,460 is 2214747262980.

Find LCM of 566,684,466,427,460 with Prime Factorization

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

2 x 2 x 283 x 171 x 233 x 427 x 115 = 2214747262980

Therefore, the lowest common multiple of 566,684,466,427,460 is 2214747262980.

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.

566 x 684 x 466 x 427 x 460 = 35435956207680

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.

566 : 1, 2, 283, 566

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

466 : 1, 2, 233, 466

427 : 1, 7, 61, 427

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 566,684,466,427,460, is 1.

Now, the common factors can be found like this.

566:2x 283

684:2x 2x 3x 3x 19

466:2x 233

427:7x 61

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 2 = 16

Therefore, the value for common factors is 16.

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 = 35435956207680/(1x16)

LCM = 35435956207680/16

LCM = 2214747262980

Thus, we can understand that the LCM of 566,684,466,427,460 is 2214747262980.

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

• LCM of 700, 538, 541, 269, 652
• LCM of 478, 619, 478, 293, 975
• LCM of 505, 978, 605, 528, 118
• LCM of 172, 388, 153, 605, 640
• LCM of 432, 550, 490, 813, 941

1. What is the LCM of 566, 684, 466, 427, 460?

Answer: LCM of 566, 684, 466, 427, 460 is 2214747262980.

2. How to calculate the LCM of 566, 684, 466, 427, 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 566, 684, 466, 427, 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}.