Given numbers are 759,990,192,394,874

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

The LCM of 759,990,192,394,874 is 2727299520.

Find LCM of 759,990,192,394,874 with Prime Factorization

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

2 x 3 x 11 x 23 x 1 x 15 x 32 x 197 x 19 = 2727299520

Therefore, the lowest common multiple of 759,990,192,394,874 is 2727299520.

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.

759 x 990 x 192 x 394 x 874 = 49680488056320

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

394 : 1, 2, 197, 394

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,990,192,394,874, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

990:2x 3x 3x 5x 11

192:2x 2x 2x 2x 2x 2x 3

394:2x 197

874:2x 19x 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 3x 3x 11x 23 = 18216

Therefore, the value for common factors is 18216.

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 = 49680488056320/(1x18216)

LCM = 49680488056320/18216

LCM = 2727299520

Thus, we can understand that the LCM of 759,990,192,394,874 is 2727299520.

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

• LCM of 628, 243, 629, 861, 769
• LCM of 498, 835, 970, 131, 885
• LCM of 675, 342, 473, 248, 247
• LCM of 433, 807, 654, 586, 870
• LCM of 447, 548, 462, 287, 671

1. What is the LCM of 759, 990, 192, 394, 874?

Answer: LCM of 759, 990, 192, 394, 874 is 2727299520.

2. How to calculate the LCM of 759, 990, 192, 394, 874?

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 759, 990, 192, 394, 874.

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}.