Given numbers are 585,803,624,582,117

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

The LCM of 585,803,624,582,117 is 729059760.

Find LCM of 585,803,624,582,117 with Prime Factorization

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

2 x 3 x 3 x 13 x 5 x 803 x 8 x 97 x 1 = 729059760

Therefore, the lowest common multiple of 585,803,624,582,117 is 729059760.

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 803 x 624 x 582 x 117 = 19960198109280

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

803 : 1, 11, 73, 803

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

582 : 1, 2, 3, 6, 97, 194, 291, 582

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,803,624,582,117, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

803:11x 73

624:2x 2x 2x 2x 3x 13

582:2x 3x 97

117:3x 3x 13

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

2x 3x 3x 3x 3x 13x 13 = 27378

Therefore, the value for common factors is 27378.

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 = 19960198109280/(1x27378)

LCM = 19960198109280/27378

LCM = 729059760

Thus, we can understand that the LCM of 585,803,624,582,117 is 729059760.

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

• LCM of 656, 214, 505, 257, 201
• LCM of 563, 712, 897, 432, 677
• LCM of 545, 469, 353, 297, 229
• LCM of 411, 495, 978, 916, 575
• LCM of 189, 171, 131, 279, 539

1. What is the LCM of 585, 803, 624, 582, 117?

Answer: LCM of 585, 803, 624, 582, 117 is 729059760.

2. How to calculate the LCM of 585, 803, 624, 582, 117?

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, 803, 624, 582, 117.

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}.