Given numbers are 488,566,214,322

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

The LCM of 488,566,214,322 is 2379117608.

Find LCM of 488,566,214,322 with Prime Factorization

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

2 x 244 x 283 x 107 x 161 = 2379117608

Therefore, the lowest common multiple of 488,566,214,322 is 2379117608.

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.

488 x 566 x 214 x 322 = 19032940864

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

566 : 1, 2, 283, 566

214 : 1, 2, 107, 214

322 : 1, 2, 7, 14, 23, 46, 161, 322

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,566,214,322, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

566:2x 283

214:2x 107

322:2x 7x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 19032940864/(2x4)

LCM = 19032940864/8

LCM = 2379117608

Thus, we can understand that the LCM of 488,566,214,322 is 2379117608.

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

• LCM of 780, 749, 825, 361
• LCM of 946, 516, 980, 708
• LCM of 843, 319, 343, 729
• LCM of 987, 799, 585, 747
• LCM of 934, 372, 806, 489

1. What is the LCM of 488, 566, 214, 322?

Answer: LCM of 488, 566, 214, 322 is 2379117608.

2. How to calculate the LCM of 488, 566, 214, 322?

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 488, 566, 214, 322.

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}.