Given numbers are 464,566,532,608

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

The LCM of 464,566,532,608 is 34928992.

Find LCM of 464,566,532,608 with Prime Factorization

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

2 x 2 x 2 x 2 x 19 x 29 x 283 x 7 x 2 = 34928992

Therefore, the lowest common multiple of 464,566,532,608 is 34928992.

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.

464 x 566 x 532 x 608 = 84947308544

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.

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

566 : 1, 2, 283, 566

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,566,532,608, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

566:2x 283

532:2x 2x 7x 19

608:2x 2x 2x 2x 2x 19

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 19 = 1216

Therefore, the value for common factors is 1216.

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 = 84947308544/(2x1216)

LCM = 84947308544/2432

LCM = 34928992

Thus, we can understand that the LCM of 464,566,532,608 is 34928992.

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

• LCM of 526, 340, 320, 611
• LCM of 368, 919, 476, 240
• LCM of 379, 350, 198, 218
• LCM of 927, 333, 527, 524
• LCM of 954, 905, 923, 598

1. What is the LCM of 464, 566, 532, 608?

Answer: LCM of 464, 566, 532, 608 is 34928992.

2. How to calculate the LCM of 464, 566, 532, 608?

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 464, 566, 532, 608.

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}.