Given numbers are 493,338,590,104

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

The LCM of 493,338,590,104 is 196628120.

Find LCM of 493,338,590,104 with Prime Factorization

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

2 x 13 x 493 x 13 x 295 x 4 = 196628120

Therefore, the lowest common multiple of 493,338,590,104 is 196628120.

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.

493 x 338 x 590 x 104 = 10224662240

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.

493 : 1, 17, 29, 493

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,338,590,104, is 1.

Now, the common factors can be found like this.

493:17x 29

338:2x 13x 13

590:2x 5x 59

104:2x 2x 2x 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 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 10224662240/(1x52)

LCM = 10224662240/52

LCM = 196628120

Thus, we can understand that the LCM of 493,338,590,104 is 196628120.

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

• LCM of 426, 731, 192, 839
• LCM of 119, 515, 604, 173
• LCM of 360, 401, 887, 461
• LCM of 479, 986, 527, 205
• LCM of 122, 757, 880, 597

1. What is the LCM of 493, 338, 590, 104?

Answer: LCM of 493, 338, 590, 104 is 196628120.

2. How to calculate the LCM of 493, 338, 590, 104?

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 493, 338, 590, 104.

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}.