Given numbers are 230,480,572,546,831

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

The LCM of 230,480,572,546,831 is 3061138080.

Find LCM of 230,480,572,546,831 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 23 x 8 x 11 x 7 x 277 = 3061138080

Therefore, the lowest common multiple of 230,480,572,546,831 is 3061138080.

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.

230 x 480 x 572 x 546 x 831 = 28652252428800

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,480,572,546,831, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

480:2x 2x 2x 2x 2x 3x 5

572:2x 2x 11x 13

546:2x 3x 7x 13

831:3x 277

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 2x 2x 3x 3x 5x 13 = 9360

Therefore, the value for common factors is 9360.

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 = 28652252428800/(1x9360)

LCM = 28652252428800/9360

LCM = 3061138080

Thus, we can understand that the LCM of 230,480,572,546,831 is 3061138080.

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

• LCM of 222, 800, 750, 531, 978
• LCM of 994, 566, 379, 281, 146
• LCM of 409, 406, 640, 296, 964
• LCM of 457, 240, 964, 262, 265
• LCM of 637, 556, 622, 649, 386

1. What is the LCM of 230, 480, 572, 546, 831?

Answer: LCM of 230, 480, 572, 546, 831 is 3061138080.

2. How to calculate the LCM of 230, 480, 572, 546, 831?

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 230, 480, 572, 546, 831.

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}.