Given numbers are 720,311,814,417

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

The LCM of 720,311,814,417 is 12667826160.

Find LCM of 720,311,814,417 with Prime Factorization

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

2 x 3 x 120 x 311 x 407 x 139 = 12667826160

Therefore, the lowest common multiple of 720,311,814,417 is 12667826160.

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 311 x 814 x 417 = 76006956960

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

311 : 1, 311

814 : 1, 2, 11, 22, 37, 74, 407, 814

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,311,814,417, is 1.

Now, the common factors can be found like this.

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

311:311

814:2x 11x 37

417:3x 139

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 76006956960/(1x6)

LCM = 76006956960/6

LCM = 12667826160

Thus, we can understand that the LCM of 720,311,814,417 is 12667826160.

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

• LCM of 672, 268, 174, 650
• LCM of 989, 103, 355, 776
• LCM of 875, 232, 382, 460
• LCM of 362, 734, 647, 781
• LCM of 307, 927, 691, 998

1. What is the LCM of 720, 311, 814, 417?

Answer: LCM of 720, 311, 814, 417 is 12667826160.

2. How to calculate the LCM of 720, 311, 814, 417?

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, 311, 814, 417.

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}.