Given numbers are 505,131,705,235

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

The LCM of 505,131,705,235 is 9327855.

Find LCM of 505,131,705,235 with Prime Factorization

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

5 x 47 x 101 x 131 x 3 x 1 = 9327855

Therefore, the lowest common multiple of 505,131,705,235 is 9327855.

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.

505 x 131 x 705 x 235 = 10960229625

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.

505 : 1, 5, 101, 505

131 : 1, 131

705 : 1, 3, 5, 15, 47, 141, 235, 705

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,131,705,235, is 1.

Now, the common factors can be found like this.

505:5x 101

131:131

705:3x 5x 47

235:5x 47

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

5x 5x 47 = 1175

Therefore, the value for common factors is 1175.

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 = 10960229625/(1x1175)

LCM = 10960229625/1175

LCM = 9327855

Thus, we can understand that the LCM of 505,131,705,235 is 9327855.

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

• LCM of 376, 730, 721, 319
• LCM of 563, 785, 733, 782
• LCM of 574, 811, 806, 101
• LCM of 697, 127, 887, 501
• LCM of 144, 668, 404, 668

1. What is the LCM of 505, 131, 705, 235?

Answer: LCM of 505, 131, 705, 235 is 9327855.

2. How to calculate the LCM of 505, 131, 705, 235?

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 505, 131, 705, 235.

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}.