Given numbers are 235,275,311,855

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

The LCM of 235,275,311,855 is 687364425.

Find LCM of 235,275,311,855 with Prime Factorization

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

5 x 47 x 55 x 311 x 171 = 687364425

Therefore, the lowest common multiple of 235,275,311,855 is 687364425.

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.

235 x 275 x 311 x 855 = 17184110625

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.

235 : 1, 5, 47, 235

275 : 1, 5, 11, 25, 55, 275

311 : 1, 311

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,275,311,855, is 1.

Now, the common factors can be found like this.

235:5x 47

275:5x 5x 11

311:311

855:3x 3x 5x 19

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 17184110625/(1x25)

LCM = 17184110625/25

LCM = 687364425

Thus, we can understand that the LCM of 235,275,311,855 is 687364425.

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

• LCM of 739, 821, 250, 875
• LCM of 517, 604, 100, 640
• LCM of 371, 252, 353, 810
• LCM of 120, 667, 888, 101
• LCM of 237, 197, 978, 885

1. What is the LCM of 235, 275, 311, 855?

Answer: LCM of 235, 275, 311, 855 is 687364425.

2. How to calculate the LCM of 235, 275, 311, 855?

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 235, 275, 311, 855.

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}.