Given numbers are 638,979,990,594,825

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

The LCM of 638,979,990,594,825 is 38327850.

Find LCM of 638,979,990,594,825 with Prime Factorization

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

2 x 3 x 3 x 5 x 11 x 29 x 89 x 1 x 3 x 5 = 38327850

Therefore, the lowest common multiple of 638,979,990,594,825 is 38327850.

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.

638 x 979 x 990 x 594 x 825 = 303025347999000

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

979 : 1, 11, 89, 979

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,979,990,594,825, is 11.

Now, the common factors can be found like this.

638:2x 11x 29

979:11x 89

990:2x 3x 3x 5x 11

594:2x 3x 3x 3x 11

825:3x 5x 5x 11

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 3x 5x 11x 11x 11 = 718740

Therefore, the value for common factors is 718740.

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 = 303025347999000/(11x718740)

LCM = 303025347999000/7906140

LCM = 38327850

Thus, we can understand that the LCM of 638,979,990,594,825 is 38327850.

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

• LCM of 874, 370, 276, 842, 873
• LCM of 311, 778, 273, 956, 792
• LCM of 180, 459, 932, 590, 691
• LCM of 554, 911, 927, 299, 572
• LCM of 813, 742, 817, 398, 702

1. What is the LCM of 638, 979, 990, 594, 825?

Answer: LCM of 638, 979, 990, 594, 825 is 38327850.

2. How to calculate the LCM of 638, 979, 990, 594, 825?

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 638, 979, 990, 594, 825.

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}.