Given numbers are 568,104,936,966,460

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

The LCM of 568,104,936,966,460 is 53497080.

Find LCM of 568,104,936,966,460 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 23 x 71 x 1 x 3 x 7 x 5 = 53497080

Therefore, the lowest common multiple of 568,104,936,966,460 is 53497080.

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.

568 x 104 x 936 x 966 x 460 = 24569282949120

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

104 : 1, 2, 4, 8, 13, 26, 52, 104

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 568,104,936,966,460, is 2.

Now, the common factors can be found like this.

568:2x 2x 2x 71

104:2x 2x 2x 13

936:2x 2x 2x 3x 3x 13

966:2x 3x 7x 23

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 2x 2x 2x 3x 13x 23 = 229632

Therefore, the value for common factors is 229632.

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 = 24569282949120/(2x229632)

LCM = 24569282949120/459264

LCM = 53497080

Thus, we can understand that the LCM of 568,104,936,966,460 is 53497080.

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

• LCM of 354, 185, 419, 745, 703
• LCM of 658, 939, 584, 747, 351
• LCM of 665, 112, 501, 798, 225
• LCM of 182, 986, 933, 495, 236
• LCM of 237, 386, 978, 652, 388

1. What is the LCM of 568, 104, 936, 966, 460?

Answer: LCM of 568, 104, 936, 966, 460 is 53497080.

2. How to calculate the LCM of 568, 104, 936, 966, 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 568, 104, 936, 966, 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}.