Given numbers are 338,368,221,747

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

The LCM of 338,368,221,747 is 789776208.

Find LCM of 338,368,221,747 with Prime Factorization

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

2 x 13 x 13 x 184 x 17 x 747 = 789776208

Therefore, the lowest common multiple of 338,368,221,747 is 789776208.

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 368 x 221 x 747 = 20534181408

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

221 : 1, 13, 17, 221

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,368,221,747, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

368:2x 2x 2x 2x 23

221:13x 17

747:3x 3x 83

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 = 20534181408/(1x26)

LCM = 20534181408/26

LCM = 789776208

Thus, we can understand that the LCM of 338,368,221,747 is 789776208.

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

• LCM of 664, 628, 180, 594
• LCM of 583, 757, 682, 711
• LCM of 150, 473, 551, 909
• LCM of 403, 474, 449, 303
• LCM of 538, 191, 941, 377

1. What is the LCM of 338, 368, 221, 747?

Answer: LCM of 338, 368, 221, 747 is 789776208.

2. How to calculate the LCM of 338, 368, 221, 747?

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, 368, 221, 747.

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}.