Given numbers are 508,422,217,424,912

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

The LCM of 508,422,217,424,912 is 281071374864.

Find LCM of 508,422,217,424,912 with Prime Factorization

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

2 x 2 x 2 x 127 x 211 x 217 x 53 x 114 = 281071374864

Therefore, the lowest common multiple of 508,422,217,424,912 is 281071374864.

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.

508 x 422 x 217 x 424 x 912 = 17988567991296

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.

508 : 1, 2, 4, 127, 254, 508

422 : 1, 2, 211, 422

217 : 1, 7, 31, 217

424 : 1, 2, 4, 8, 53, 106, 212, 424

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,422,217,424,912, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

422:2x 211

217:7x 31

424:2x 2x 2x 53

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 2 = 64

Therefore, the value for common factors is 64.

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 = 17988567991296/(1x64)

LCM = 17988567991296/64

LCM = 281071374864

Thus, we can understand that the LCM of 508,422,217,424,912 is 281071374864.

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

• LCM of 712, 188, 141, 443, 616
• LCM of 938, 370, 994, 460, 869
• LCM of 914, 798, 399, 445, 934
• LCM of 303, 697, 735, 743, 691
• LCM of 315, 745, 279, 770, 713

1. What is the LCM of 508, 422, 217, 424, 912?

Answer: LCM of 508, 422, 217, 424, 912 is 281071374864.

2. How to calculate the LCM of 508, 422, 217, 424, 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 508, 422, 217, 424, 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}.