Given numbers are 426,193,470,338,589

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

The LCM of 426,193,470,338,589 is 1923254555430.

Find LCM of 426,193,470,338,589 with Prime Factorization

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

2 x 213 x 193 x 235 x 169 x 589 = 1923254555430

Therefore, the lowest common multiple of 426,193,470,338,589 is 1923254555430.

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.

426 x 193 x 470 x 338 x 589 = 7693018221720

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

193 : 1, 193

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,193,470,338,589, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

193:193

470:2x 5x 47

338:2x 13x 13

589:19x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7693018221720/(1x4)

LCM = 7693018221720/4

LCM = 1923254555430

Thus, we can understand that the LCM of 426,193,470,338,589 is 1923254555430.

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

• LCM of 446, 189, 922, 168, 544
• LCM of 648, 146, 525, 855, 370
• LCM of 152, 382, 770, 642, 982
• LCM of 461, 909, 583, 560, 840
• LCM of 934, 784, 568, 982, 951

1. What is the LCM of 426, 193, 470, 338, 589?

Answer: LCM of 426, 193, 470, 338, 589 is 1923254555430.

2. How to calculate the LCM of 426, 193, 470, 338, 589?

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 426, 193, 470, 338, 589.

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}.