Given numbers are 306,108,276,311,940

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

The LCM of 306,108,276,311,940 is 3086233380.

Find LCM of 306,108,276,311,940 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 3 x 23 x 311 x 235 = 3086233380

Therefore, the lowest common multiple of 306,108,276,311,940 is 3086233380.

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.

306 x 108 x 276 x 311 x 940 = 2666505640320

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

311 : 1, 311

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,108,276,311,940, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

108:2x 2x 3x 3x 3

276:2x 2x 3x 23

311:311

940:2x 2x 5x 47

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 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 2666505640320/(1x864)

LCM = 2666505640320/864

LCM = 3086233380

Thus, we can understand that the LCM of 306,108,276,311,940 is 3086233380.

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

• LCM of 225, 248, 407, 366, 502
• LCM of 874, 378, 546, 625, 275
• LCM of 705, 729, 535, 975, 907
• LCM of 527, 746, 175, 158, 587
• LCM of 582, 386, 209, 373, 189

1. What is the LCM of 306, 108, 276, 311, 940?

Answer: LCM of 306, 108, 276, 311, 940 is 3086233380.

2. How to calculate the LCM of 306, 108, 276, 311, 940?

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 306, 108, 276, 311, 940.

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}.