Given numbers are 767,825,828,984

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

The LCM of 767,825,828,984 is 14320963800.

Find LCM of 767,825,828,984 with Prime Factorization

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

2 x 2 x 3 x 767 x 275 x 69 x 82 = 14320963800

Therefore, the lowest common multiple of 767,825,828,984 is 14320963800.

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.

767 x 825 x 828 x 984 = 515554696800

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.

767 : 1, 13, 59, 767

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,825,828,984, is 1.

Now, the common factors can be found like this.

767:13x 59

825:3x 5x 5x 11

828:2x 2x 3x 3x 23

984:2x 2x 2x 3x 41

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 = 515554696800/(1x36)

LCM = 515554696800/36

LCM = 14320963800

Thus, we can understand that the LCM of 767,825,828,984 is 14320963800.

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

• LCM of 930, 445, 638, 100
• LCM of 703, 443, 960, 227
• LCM of 192, 861, 954, 700
• LCM of 771, 685, 948, 361
• LCM of 353, 225, 358, 588

1. What is the LCM of 767, 825, 828, 984?

Answer: LCM of 767, 825, 828, 984 is 14320963800.

2. How to calculate the LCM of 767, 825, 828, 984?

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 767, 825, 828, 984.

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}.