Given numbers are 584,313,259,214

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

The LCM of 584,313,259,214 is 5065714696.

Find LCM of 584,313,259,214 with Prime Factorization

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

2 x 292 x 313 x 259 x 107 = 5065714696

Therefore, the lowest common multiple of 584,313,259,214 is 5065714696.

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 313 x 259 x 214 = 10131429392

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

313 : 1, 313

259 : 1, 7, 37, 259

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,313,259,214, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

313:313

259:7x 37

214:2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 10131429392/(1x2)

LCM = 10131429392/2

LCM = 5065714696

Thus, we can understand that the LCM of 584,313,259,214 is 5065714696.

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

• LCM of 647, 854, 208, 668
• LCM of 937, 223, 554, 390
• LCM of 312, 664, 447, 949
• LCM of 907, 879, 835, 231
• LCM of 485, 480, 912, 750

1. What is the LCM of 584, 313, 259, 214?

Answer: LCM of 584, 313, 259, 214 is 5065714696.

2. How to calculate the LCM of 584, 313, 259, 214?

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, 313, 259, 214.

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}.