Given numbers are 311,478,112,936

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

The LCM of 311,478,112,936 is 974007216.

Find LCM of 311,478,112,936 with Prime Factorization

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

2 x 2 x 2 x 311 x 239 x 14 x 117 = 974007216

Therefore, the lowest common multiple of 311,478,112,936 is 974007216.

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 478 x 112 x 936 = 15584115456

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

478 : 1, 2, 239, 478

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,478,112,936, is 1.

Now, the common factors can be found like this.

311:311

478:2x 239

112:2x 2x 2x 2x 7

936:2x 2x 2x 3x 3x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 15584115456/(1x16)

LCM = 15584115456/16

LCM = 974007216

Thus, we can understand that the LCM of 311,478,112,936 is 974007216.

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

• LCM of 805, 891, 439, 680
• LCM of 500, 262, 697, 320
• LCM of 589, 560, 266, 504
• LCM of 886, 838, 492, 992
• LCM of 779, 429, 398, 130

1. What is the LCM of 311, 478, 112, 936?

Answer: LCM of 311, 478, 112, 936 is 974007216.

2. How to calculate the LCM of 311, 478, 112, 936?

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, 478, 112, 936.

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}.