Given numbers are 825,122,568,338

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

The LCM of 825,122,568,338 is 4830797400.

Find LCM of 825,122,568,338 with Prime Factorization

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

2 x 825 x 61 x 284 x 169 = 4830797400

Therefore, the lowest common multiple of 825,122,568,338 is 4830797400.

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.

825 x 122 x 568 x 338 = 19323189600

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.

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

122 : 1, 2, 61, 122

568 : 1, 2, 4, 8, 71, 142, 284, 568

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,122,568,338, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

122:2x 61

568:2x 2x 2x 71

338:2x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 19323189600/(1x4)

LCM = 19323189600/4

LCM = 4830797400

Thus, we can understand that the LCM of 825,122,568,338 is 4830797400.

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

• LCM of 479, 242, 931, 674
• LCM of 948, 822, 663, 173
• LCM of 384, 946, 545, 705
• LCM of 573, 999, 488, 330
• LCM of 359, 564, 152, 767

1. What is the LCM of 825, 122, 568, 338?

Answer: LCM of 825, 122, 568, 338 is 4830797400.

2. How to calculate the LCM of 825, 122, 568, 338?

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 825, 122, 568, 338.

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}.