Given numbers are 424,928,414,560

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

The LCM of 424,928,414,560 is 356338080.

Find LCM of 424,928,414,560 with Prime Factorization

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

2 x 2 x 2 x 2 x 53 x 58 x 207 x 35 = 356338080

Therefore, the lowest common multiple of 424,928,414,560 is 356338080.

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.

424 x 928 x 414 x 560 = 91222548480

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.

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

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,928,414,560, is 2.

Now, the common factors can be found like this.

424:2x 2x 2x 53

928:2x 2x 2x 2x 2x 29

414:2x 3x 3x 23

560:2x 2x 2x 2x 5x 7

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 2 = 128

Therefore, the value for common factors is 128.

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 = 91222548480/(2x128)

LCM = 91222548480/256

LCM = 356338080

Thus, we can understand that the LCM of 424,928,414,560 is 356338080.

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

• LCM of 343, 659, 132, 723
• LCM of 114, 457, 389, 814
• LCM of 933, 789, 582, 872
• LCM of 925, 917, 357, 692
• LCM of 280, 174, 127, 375

1. What is the LCM of 424, 928, 414, 560?

Answer: LCM of 424, 928, 414, 560 is 356338080.

2. How to calculate the LCM of 424, 928, 414, 560?

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 424, 928, 414, 560.

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}.