Given numbers are 584,135,464,304,424

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

The LCM of 584,135,464,304,424 is 4604729040.

Find LCM of 584,135,464,304,424 with Prime Factorization

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

2 x 2 x 2 x 2 x 73 x 135 x 29 x 19 x 53 = 4604729040

Therefore, the lowest common multiple of 584,135,464,304,424 is 4604729040.

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.

584 x 135 x 464 x 304 x 424 = 4715242536960

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

135 : 1, 3, 5, 9, 15, 27, 45, 135

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,135,464,304,424, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

135:3x 3x 3x 5

464:2x 2x 2x 2x 29

304:2x 2x 2x 2x 19

424:2x 2x 2x 53

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 2x 2x 2x 2x 2x 2 = 1024

Therefore, the value for common factors is 1024.

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 = 4715242536960/(1x1024)

LCM = 4715242536960/1024

LCM = 4604729040

Thus, we can understand that the LCM of 584,135,464,304,424 is 4604729040.

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

• LCM of 212, 134, 515, 662, 573
• LCM of 918, 194, 579, 334, 116
• LCM of 522, 735, 109, 780, 846
• LCM of 559, 704, 667, 671, 225
• LCM of 894, 186, 973, 129, 986

1. What is the LCM of 584, 135, 464, 304, 424?

Answer: LCM of 584, 135, 464, 304, 424 is 4604729040.

2. How to calculate the LCM of 584, 135, 464, 304, 424?

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 584, 135, 464, 304, 424.

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}.