Given numbers are 582,409,320,676,828

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

The LCM of 582,409,320,676,828 is 444121778880.

Find LCM of 582,409,320,676,828 with Prime Factorization

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

2 x 2 x 3 x 97 x 409 x 80 x 169 x 69 = 444121778880

Therefore, the lowest common multiple of 582,409,320,676,828 is 444121778880.

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 409 x 320 x 676 x 828 = 42635690772480

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

409 : 1, 409

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,409,320,676,828, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

409:409

320:2x 2x 2x 2x 2x 2x 5

676:2x 2x 13x 13

828:2x 2x 3x 3x 23

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 42635690772480/(1x96)

LCM = 42635690772480/96

LCM = 444121778880

Thus, we can understand that the LCM of 582,409,320,676,828 is 444121778880.

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

• LCM of 777, 984, 816, 635, 190
• LCM of 591, 680, 306, 465, 474
• LCM of 373, 945, 225, 723, 811
• LCM of 917, 774, 945, 911, 946
• LCM of 326, 200, 670, 581, 924

1. What is the LCM of 582, 409, 320, 676, 828?

Answer: LCM of 582, 409, 320, 676, 828 is 444121778880.

2. How to calculate the LCM of 582, 409, 320, 676, 828?

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, 409, 320, 676, 828.

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}.