Given numbers are 828,438,582,323

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

The LCM of 828,438,582,323 is 1893770964.

Find LCM of 828,438,582,323 with Prime Factorization

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

2 x 3 x 138 x 73 x 97 x 323 = 1893770964

Therefore, the lowest common multiple of 828,438,582,323 is 1893770964.

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.

828 x 438 x 582 x 323 = 68175754704

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,438,582,323, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

438:2x 3x 73

582:2x 3x 97

323:17x 19

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 3 = 36

Therefore, the value for common factors is 36.

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 = 68175754704/(1x36)

LCM = 68175754704/36

LCM = 1893770964

Thus, we can understand that the LCM of 828,438,582,323 is 1893770964.

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

• LCM of 159, 596, 425, 237
• LCM of 416, 635, 560, 122
• LCM of 910, 215, 831, 839
• LCM of 453, 964, 423, 667
• LCM of 972, 104, 423, 561

1. What is the LCM of 828, 438, 582, 323?

Answer: LCM of 828, 438, 582, 323 is 1893770964.

2. How to calculate the LCM of 828, 438, 582, 323?

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 828, 438, 582, 323.

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}.