Given numbers are 504,468,594,593,506

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

The LCM of 504,468,594,593,506 is 2948970024.

Find LCM of 504,468,594,593,506 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 14 x 13 x 3 x 593 x 23 = 2948970024

Therefore, the lowest common multiple of 504,468,594,593,506 is 2948970024.

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.

504 x 468 x 594 x 593 x 506 = 42040516662144

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

593 : 1, 593

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,468,594,593,506, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

468:2x 2x 3x 3x 13

594:2x 3x 3x 3x 11

593:593

506:2x 11x 23

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

2x 2x 2x 2x 3x 3x 3x 3x 11 = 14256

Therefore, the value for common factors is 14256.

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 = 42040516662144/(1x14256)

LCM = 42040516662144/14256

LCM = 2948970024

Thus, we can understand that the LCM of 504,468,594,593,506 is 2948970024.

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

• LCM of 602, 838, 105, 904, 282
• LCM of 234, 475, 242, 784, 345
• LCM of 613, 997, 929, 868, 605
• LCM of 254, 434, 479, 541, 356
• LCM of 253, 877, 305, 432, 395

1. What is the LCM of 504, 468, 594, 593, 506?

Answer: LCM of 504, 468, 594, 593, 506 is 2948970024.

2. How to calculate the LCM of 504, 468, 594, 593, 506?

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 504, 468, 594, 593, 506.

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}.