Given numbers are 138,646,816,593,728

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

The LCM of 138,646,816,593,728 is 19242774096.

Find LCM of 138,646,816,593,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 23 x 19 x 2 x 593 x 91 = 19242774096

Therefore, the lowest common multiple of 138,646,816,593,728 is 19242774096.

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.

138 x 646 x 816 x 593 x 728 = 31404207324672

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

646 : 1, 2, 17, 19, 34, 38, 323, 646

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

593 : 1, 593

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,646,816,593,728, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

646:2x 17x 19

816:2x 2x 2x 2x 3x 17

593:593

728:2x 2x 2x 7x 13

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 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 31404207324672/(1x1632)

LCM = 31404207324672/1632

LCM = 19242774096

Thus, we can understand that the LCM of 138,646,816,593,728 is 19242774096.

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

• LCM of 246, 291, 906, 553, 751
• LCM of 968, 428, 615, 192, 642
• LCM of 345, 170, 467, 604, 450
• LCM of 323, 441, 936, 367, 335
• LCM of 884, 824, 914, 405, 909

1. What is the LCM of 138, 646, 816, 593, 728?

Answer: LCM of 138, 646, 816, 593, 728 is 19242774096.

2. How to calculate the LCM of 138, 646, 816, 593, 728?

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 138, 646, 816, 593, 728.

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}.