Given numbers are 505,770,115,311

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

The LCM of 505,770,115,311 is 556288810.

Find LCM of 505,770,115,311 with Prime Factorization

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

5 x 101 x 154 x 23 x 311 = 556288810

Therefore, the lowest common multiple of 505,770,115,311 is 556288810.

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 770 x 115 x 311 = 13907220250

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

115 : 1, 5, 23, 115

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,770,115,311, is 1.

Now, the common factors can be found like this.

505:5x 101

770:2x 5x 7x 11

115:5x 23

311:311

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 = 13907220250/(1x25)

LCM = 13907220250/25

LCM = 556288810

Thus, we can understand that the LCM of 505,770,115,311 is 556288810.

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

• LCM of 746, 816, 884, 797
• LCM of 585, 874, 377, 859
• LCM of 384, 595, 287, 721
• LCM of 962, 947, 872, 346
• LCM of 654, 775, 987, 346

1. What is the LCM of 505, 770, 115, 311?

Answer: LCM of 505, 770, 115, 311 is 556288810.

2. How to calculate the LCM of 505, 770, 115, 311?

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, 770, 115, 311.

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}.