Given numbers are 300,311,135,861,145

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

The LCM of 300,311,135,861,145 is 6988823100.

Find LCM of 300,311,135,861,145 with Prime Factorization

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

3 x 5 x 20 x 311 x 9 x 287 x 29 = 6988823100

Therefore, the lowest common multiple of 300,311,135,861,145 is 6988823100.

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.

300 x 311 x 135 x 861 x 145 = 1572485197500

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

311 : 1, 311

135 : 1, 3, 5, 9, 15, 27, 45, 135

861 : 1, 3, 7, 21, 41, 123, 287, 861

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,311,135,861,145, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

311:311

135:3x 3x 3x 5

861:3x 7x 41

145:5x 29

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

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 1572485197500/(1x225)

LCM = 1572485197500/225

LCM = 6988823100

Thus, we can understand that the LCM of 300,311,135,861,145 is 6988823100.

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

• LCM of 607, 401, 770, 903, 110
• LCM of 257, 568, 358, 866, 675
• LCM of 529, 155, 146, 612, 147
• LCM of 399, 693, 561, 601, 502
• LCM of 356, 686, 229, 359, 604

1. What is the LCM of 300, 311, 135, 861, 145?

Answer: LCM of 300, 311, 135, 861, 145 is 6988823100.

2. How to calculate the LCM of 300, 311, 135, 861, 145?

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 300, 311, 135, 861, 145.

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}.