Given numbers are 338,180,778

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

The LCM of 338,180,778 is 11833380.

Find LCM of 338,180,778 with Prime Factorization

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

2 x 169 x 90 x 389 = 11833380

Therefore, the lowest common multiple of 338,180,778 is 11833380.

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.

338 x 180 x 778 = 47333520

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.

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

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

778 : 1, 2, 389, 778

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,180,778, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

180:2x 2x 3x 3x 5

778:2x 389

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

2 = 2

Therefore, the value for common factors is 2.

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 = 47333520/(2x2)

LCM = 47333520/4

LCM = 11833380

Thus, we can understand that the LCM of 338,180,778 is 11833380.

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

• LCM of 343, 456, 783
• LCM of 590, 171, 324
• LCM of 748, 905, 737
• LCM of 934, 374, 829
• LCM of 160, 588, 489

1. What is the LCM of 338, 180, 778?

Answer: LCM of 338, 180, 778 is 11833380.

2. How to calculate the LCM of 338, 180, 778?

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 338, 180, 778.

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}.