Given numbers are 720,879,311,678,374

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

The LCM of 720,879,311,678,374 is 1386374481360.

Find LCM of 720,879,311,678,374 with Prime Factorization

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

2 x 3 x 120 x 293 x 311 x 113 x 187 = 1386374481360

Therefore, the lowest common multiple of 720,879,311,678,374 is 1386374481360.

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.

720 x 879 x 311 x 678 x 374 = 49909481328960

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

879 : 1, 3, 293, 879

311 : 1, 311

678 : 1, 2, 3, 6, 113, 226, 339, 678

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,879,311,678,374, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

879:3x 293

311:311

678:2x 3x 113

374:2x 11x 17

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 49909481328960/(1x36)

LCM = 49909481328960/36

LCM = 1386374481360

Thus, we can understand that the LCM of 720,879,311,678,374 is 1386374481360.

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

• LCM of 598, 715, 838, 933, 510
• LCM of 938, 466, 219, 619, 209
• LCM of 846, 667, 803, 209, 518
• LCM of 327, 239, 205, 374, 509
• LCM of 372, 476, 438, 836, 961

1. What is the LCM of 720, 879, 311, 678, 374?

Answer: LCM of 720, 879, 311, 678, 374 is 1386374481360.

2. How to calculate the LCM of 720, 879, 311, 678, 374?

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 720, 879, 311, 678, 374.

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}.