Given numbers are 714,382,663,720,791

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

The LCM of 714,382,663,720,791 is 24040008720.

Find LCM of 714,382,663,720,791 with Prime Factorization

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

2 x 3 x 7 x 17 x 1 x 191 x 13 x 120 x 113 = 24040008720

Therefore, the lowest common multiple of 714,382,663,720,791 is 24040008720.

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.

714 x 382 x 663 x 720 x 791 = 102987397356480

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

382 : 1, 2, 191, 382

663 : 1, 3, 13, 17, 39, 51, 221, 663

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

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,382,663,720,791, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

382:2x 191

663:3x 13x 17

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

791:7x 113

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 3x 7x 17 = 4284

Therefore, the value for common factors is 4284.

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 = 102987397356480/(1x4284)

LCM = 102987397356480/4284

LCM = 24040008720

Thus, we can understand that the LCM of 714,382,663,720,791 is 24040008720.

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

• LCM of 523, 194, 615, 668, 883
• LCM of 449, 635, 158, 214, 804
• LCM of 626, 460, 373, 692, 858
• LCM of 101, 769, 945, 967, 209
• LCM of 188, 480, 739, 940, 108

1. What is the LCM of 714, 382, 663, 720, 791?

Answer: LCM of 714, 382, 663, 720, 791 is 24040008720.

2. How to calculate the LCM of 714, 382, 663, 720, 791?

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 714, 382, 663, 720, 791.

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}.