Given numbers are 585,269,380,965

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

The LCM of 585,269,380,965 is 2308229820.

Find LCM of 585,269,380,965 with Prime Factorization

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

5 x 117 x 269 x 76 x 193 = 2308229820

Therefore, the lowest common multiple of 585,269,380,965 is 2308229820.

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.

585 x 269 x 380 x 965 = 57705745500

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

269 : 1, 269

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,269,380,965, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

269:269

380:2x 2x 5x 19

965:5x 193

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 = 57705745500/(1x25)

LCM = 57705745500/25

LCM = 2308229820

Thus, we can understand that the LCM of 585,269,380,965 is 2308229820.

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

• LCM of 405, 227, 852, 932
• LCM of 638, 360, 116, 281
• LCM of 908, 122, 655, 845
• LCM of 439, 759, 505, 223
• LCM of 986, 986, 531, 138

1. What is the LCM of 585, 269, 380, 965?

Answer: LCM of 585, 269, 380, 965 is 2308229820.

2. How to calculate the LCM of 585, 269, 380, 965?

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 585, 269, 380, 965.

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}.