Given numbers are 340,284,568,138

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

The LCM of 340,284,568,138 is 3331320.

Find LCM of 340,284,568,138 with Prime Factorization

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

2 x 2 x 71 x 85 x 1 x 2 x 69 = 3331320

Therefore, the lowest common multiple of 340,284,568,138 is 3331320.

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.

340 x 284 x 568 x 138 = 7568759040

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,284,568,138, is 2.

Now, the common factors can be found like this.

340:2x 2x 5x 17

284:2x 2x 71

568:2x 2x 2x 71

138:2x 3x 23

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 2x 2x 71 = 1136

Therefore, the value for common factors is 1136.

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 = 7568759040/(2x1136)

LCM = 7568759040/2272

LCM = 3331320

Thus, we can understand that the LCM of 340,284,568,138 is 3331320.

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

• LCM of 575, 200, 814, 732
• LCM of 822, 818, 257, 461
• LCM of 534, 522, 625, 851
• LCM of 562, 988, 643, 667
• LCM of 231, 515, 780, 557

1. What is the LCM of 340, 284, 568, 138?

Answer: LCM of 340, 284, 568, 138 is 3331320.

2. How to calculate the LCM of 340, 284, 568, 138?

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 340, 284, 568, 138.

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}.