Given numbers are 518,731,816,936,879

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

The LCM of 518,731,816,936,879 is 103846199184.

Find LCM of 518,731,816,936,879 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 259 x 43 x 2 x 39 x 293 = 103846199184

Therefore, the lowest common multiple of 518,731,816,936,879 is 103846199184.

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.

518 x 731 x 816 x 936 x 879 = 254215495602432

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

731 : 1, 17, 43, 731

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

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

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,731,816,936,879, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

731:17x 43

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

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

879:3x 293

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 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 254215495602432/(1x2448)

LCM = 254215495602432/2448

LCM = 103846199184

Thus, we can understand that the LCM of 518,731,816,936,879 is 103846199184.

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

• LCM of 114, 760, 332, 296, 339
• LCM of 830, 314, 936, 586, 278
• LCM of 158, 658, 314, 239, 382
• LCM of 874, 154, 531, 424, 875
• LCM of 401, 739, 386, 701, 668

1. What is the LCM of 518, 731, 816, 936, 879?

Answer: LCM of 518, 731, 816, 936, 879 is 103846199184.

2. How to calculate the LCM of 518, 731, 816, 936, 879?

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 518, 731, 816, 936, 879.

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}.