Given numbers are 582,217,225,734

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

The LCM of 582,217,225,734 is 3476242350.

Find LCM of 582,217,225,734 with Prime Factorization

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

2 x 3 x 97 x 217 x 75 x 367 = 3476242350

Therefore, the lowest common multiple of 582,217,225,734 is 3476242350.

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.

582 x 217 x 225 x 734 = 20857454100

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

217 : 1, 7, 31, 217

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,217,225,734, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

217:7x 31

225:3x 3x 5x 5

734:2x 367

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 20857454100/(1x6)

LCM = 20857454100/6

LCM = 3476242350

Thus, we can understand that the LCM of 582,217,225,734 is 3476242350.

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

• LCM of 923, 555, 561, 622
• LCM of 870, 429, 939, 915
• LCM of 594, 417, 919, 657
• LCM of 859, 372, 333, 665
• LCM of 380, 255, 285, 436

1. What is the LCM of 582, 217, 225, 734?

Answer: LCM of 582, 217, 225, 734 is 3476242350.

2. How to calculate the LCM of 582, 217, 225, 734?

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 582, 217, 225, 734.

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}.