Given numbers are 564,410,259,485

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

The LCM of 564,410,259,485 is 2904721260.

Find LCM of 564,410,259,485 with Prime Factorization

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

2 x 5 x 282 x 41 x 259 x 97 = 2904721260

Therefore, the lowest common multiple of 564,410,259,485 is 2904721260.

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.

564 x 410 x 259 x 485 = 29047212600

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

410 : 1, 2, 5, 10, 41, 82, 205, 410

259 : 1, 7, 37, 259

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,410,259,485, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

410:2x 5x 41

259:7x 37

485:5x 97

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 29047212600/(1x10)

LCM = 29047212600/10

LCM = 2904721260

Thus, we can understand that the LCM of 564,410,259,485 is 2904721260.

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

• LCM of 407, 231, 117, 309
• LCM of 992, 829, 561, 388
• LCM of 116, 236, 230, 752
• LCM of 723, 699, 726, 374
• LCM of 994, 627, 301, 792

1. What is the LCM of 564, 410, 259, 485?

Answer: LCM of 564, 410, 259, 485 is 2904721260.

2. How to calculate the LCM of 564, 410, 259, 485?

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 564, 410, 259, 485.

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}.