Given numbers are 684,536,460,626,912

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

The LCM of 684,536,460,626,912 is 6598315440.

Find LCM of 684,536,460,626,912 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 3 x 67 x 115 x 313 x 2 = 6598315440

Therefore, the lowest common multiple of 684,536,460,626,912 is 6598315440.

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.

684 x 536 x 460 x 626 x 912 = 96282618900480

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.

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

536 : 1, 2, 4, 8, 67, 134, 268, 536

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

626 : 1, 2, 313, 626

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,536,460,626,912, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

536:2x 2x 2x 67

460:2x 2x 5x 23

626:2x 313

912:2x 2x 2x 2x 3x 19

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 3x 19 = 7296

Therefore, the value for common factors is 7296.

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 = 96282618900480/(2x7296)

LCM = 96282618900480/14592

LCM = 6598315440

Thus, we can understand that the LCM of 684,536,460,626,912 is 6598315440.

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

• LCM of 488, 688, 723, 629, 657
• LCM of 998, 829, 768, 644, 209
• LCM of 615, 467, 872, 349, 439
• LCM of 289, 378, 274, 376, 284
• LCM of 621, 862, 792, 839, 255

1. What is the LCM of 684, 536, 460, 626, 912?

Answer: LCM of 684, 536, 460, 626, 912 is 6598315440.

2. How to calculate the LCM of 684, 536, 460, 626, 912?

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 684, 536, 460, 626, 912.

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}.