Given numbers are 584,214,439,219

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

The LCM of 584,214,439,219 is 82296696.

Find LCM of 584,214,439,219 with Prime Factorization

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

2 x 73 x 4 x 107 x 439 x 3 = 82296696

Therefore, the lowest common multiple of 584,214,439,219 is 82296696.

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 214 x 439 x 219 = 12015317616

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

214 : 1, 2, 107, 214

439 : 1, 439

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,214,439,219, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

214:2x 107

439:439

219:3x 73

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 12015317616/(1x146)

LCM = 12015317616/146

LCM = 82296696

Thus, we can understand that the LCM of 584,214,439,219 is 82296696.

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

• LCM of 346, 332, 744, 418
• LCM of 840, 719, 920, 954
• LCM of 986, 778, 132, 631
• LCM of 227, 499, 314, 548
• LCM of 432, 630, 926, 284

1. What is the LCM of 584, 214, 439, 219?

Answer: LCM of 584, 214, 439, 219 is 82296696.

2. How to calculate the LCM of 584, 214, 439, 219?

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, 214, 439, 219.

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}.