Given numbers are 290,876,321,317,920

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

The LCM of 290,876,321,317,920 is 198186003480.

Find LCM of 290,876,321,317,920 with Prime Factorization

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

2 x 2 x 3 x 5 x 29 x 73 x 107 x 317 x 46 = 198186003480

Therefore, the lowest common multiple of 290,876,321,317,920 is 198186003480.

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.

290 x 876 x 321 x 317 x 920 = 23782320417600

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

321 : 1, 3, 107, 321

317 : 1, 317

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,876,321,317,920, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

876:2x 2x 3x 73

321:3x 107

317:317

920:2x 2x 2x 5x 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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 23782320417600/(1x120)

LCM = 23782320417600/120

LCM = 198186003480

Thus, we can understand that the LCM of 290,876,321,317,920 is 198186003480.

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

• LCM of 682, 185, 405, 113, 965
• LCM of 978, 342, 431, 131, 123
• LCM of 348, 111, 600, 927, 781
• LCM of 811, 951, 234, 954, 657
• LCM of 206, 892, 700, 402, 357

1. What is the LCM of 290, 876, 321, 317, 920?

Answer: LCM of 290, 876, 321, 317, 920 is 198186003480.

2. How to calculate the LCM of 290, 876, 321, 317, 920?

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 290, 876, 321, 317, 920.

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}.