Given numbers are 311,273,603,468,888

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

The LCM of 311,273,603,468,888 is 5051388888.

Find LCM of 311,273,603,468,888 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 311 x 7 x 67 x 1 x 74 = 5051388888

Therefore, the lowest common multiple of 311,273,603,468,888 is 5051388888.

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 273 x 603 x 468 x 888 = 21276449996256

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

603 : 1, 3, 9, 67, 201, 603

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,273,603,468,888, is 1.

Now, the common factors can be found like this.

311:311

273:3x 7x 13

603:3x 3x 67

468:2x 2x 3x 3x 13

888:2x 2x 2x 3x 37

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 3x 3x 13 = 4212

Therefore, the value for common factors is 4212.

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 = 21276449996256/(1x4212)

LCM = 21276449996256/4212

LCM = 5051388888

Thus, we can understand that the LCM of 311,273,603,468,888 is 5051388888.

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

• LCM of 161, 410, 885, 857, 284
• LCM of 641, 948, 566, 335, 813
• LCM of 279, 386, 845, 536, 904
• LCM of 275, 438, 935, 796, 832
• LCM of 326, 588, 322, 128, 127

1. What is the LCM of 311, 273, 603, 468, 888?

Answer: LCM of 311, 273, 603, 468, 888 is 5051388888.

2. How to calculate the LCM of 311, 273, 603, 468, 888?

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, 273, 603, 468, 888.

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}.