Given numbers are 390,240,585,582

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

The LCM of 390,240,585,582 is 907920.

Find LCM of 390,240,585,582 with Prime Factorization

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

2 x 3 x 5 x 13 x 1 x 8 x 3 x 97 = 907920

Therefore, the lowest common multiple of 390,240,585,582 is 907920.

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.

390 x 240 x 585 x 582 = 31867992000

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,240,585,582, is 3.

Now, the common factors can be found like this.

390:2x 3x 5x 13

240:2x 2x 2x 2x 3x 5

585:3x 3x 5x 13

582:2x 3x 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 2x 3x 3x 5x 5x 13 = 11700

Therefore, the value for common factors is 11700.

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 = 31867992000/(3x11700)

LCM = 31867992000/35100

LCM = 907920

Thus, we can understand that the LCM of 390,240,585,582 is 907920.

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

• LCM of 483, 367, 383, 163
• LCM of 558, 160, 995, 892
• LCM of 767, 852, 110, 463
• LCM of 395, 834, 258, 494
• LCM of 257, 390, 679, 786

1. What is the LCM of 390, 240, 585, 582?

Answer: LCM of 390, 240, 585, 582 is 907920.

2. How to calculate the LCM of 390, 240, 585, 582?

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 390, 240, 585, 582.

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}.