Given numbers are 389,208,338,825

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

The LCM of 389,208,338,825 is 867781200.

Find LCM of 389,208,338,825 with Prime Factorization

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

2 x 13 x 389 x 8 x 13 x 825 = 867781200

Therefore, the lowest common multiple of 389,208,338,825 is 867781200.

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.

389 x 208 x 338 x 825 = 22562311200

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.

389 : 1, 389

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,208,338,825, is 1.

Now, the common factors can be found like this.

389:389

208:2x 2x 2x 2x 13

338:2x 13x 13

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 13 = 26

Therefore, the value for common factors is 26.

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 = 22562311200/(1x26)

LCM = 22562311200/26

LCM = 867781200

Thus, we can understand that the LCM of 389,208,338,825 is 867781200.

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

• LCM of 501, 628, 720, 140
• LCM of 212, 880, 724, 374
• LCM of 862, 140, 935, 126
• LCM of 741, 148, 584, 182
• LCM of 767, 236, 788, 255

1. What is the LCM of 389, 208, 338, 825?

Answer: LCM of 389, 208, 338, 825 is 867781200.

2. How to calculate the LCM of 389, 208, 338, 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 389, 208, 338, 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}.