Given numbers are 585,959,128,231

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

The LCM of 585,959,128,231 is 789909120.

Find LCM of 585,959,128,231 with Prime Factorization

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

3 x 7 x 195 x 137 x 128 x 11 = 789909120

Therefore, the lowest common multiple of 585,959,128,231 is 789909120.

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 959 x 128 x 231 = 16588091520

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

959 : 1, 7, 137, 959

128 : 1, 2, 4, 8, 16, 32, 64, 128

231 : 1, 3, 7, 11, 21, 33, 77, 231

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,959,128,231, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

959:7x 137

128:2x 2x 2x 2x 2x 2x 2

231:3x 7x 11

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 16588091520/(1x21)

LCM = 16588091520/21

LCM = 789909120

Thus, we can understand that the LCM of 585,959,128,231 is 789909120.

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

• LCM of 970, 460, 863, 816
• LCM of 208, 684, 817, 986
• LCM of 625, 293, 747, 548
• LCM of 271, 512, 142, 799
• LCM of 571, 111, 320, 297

1. What is the LCM of 585, 959, 128, 231?

Answer: LCM of 585, 959, 128, 231 is 789909120.

2. How to calculate the LCM of 585, 959, 128, 231?

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, 959, 128, 231.

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}.