Given numbers are 311,968,596,918,685

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

The LCM of 311,968,596,918,685 is 14103447031080.

Find LCM of 311,968,596,918,685 with Prime Factorization

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

2 x 2 x 311 x 242 x 149 x 459 x 685 = 14103447031080

Therefore, the lowest common multiple of 311,968,596,918,685 is 14103447031080.

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.

311 x 968 x 596 x 918 x 685 = 112827576248640

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.

311 : 1, 311

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

596 : 1, 2, 4, 149, 298, 596

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,968,596,918,685, is 1.

Now, the common factors can be found like this.

311:311

968:2x 2x 2x 11x 11

596:2x 2x 149

918:2x 3x 3x 3x 17

685:5x 137

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 2 = 8

Therefore, the value for common factors is 8.

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 = 112827576248640/(1x8)

LCM = 112827576248640/8

LCM = 14103447031080

Thus, we can understand that the LCM of 311,968,596,918,685 is 14103447031080.

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

• LCM of 302, 573, 381, 277, 161
• LCM of 847, 679, 834, 608, 415
• LCM of 797, 413, 328, 502, 852
• LCM of 100, 473, 978, 786, 700
• LCM of 833, 186, 956, 842, 236

1. What is the LCM of 311, 968, 596, 918, 685?

Answer: LCM of 311, 968, 596, 918, 685 is 14103447031080.

2. How to calculate the LCM of 311, 968, 596, 918, 685?

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 311, 968, 596, 918, 685.

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}.