Given numbers are 550,195,289,206,122

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

The LCM of 550,195,289,206,122 is 38948631150.

Find LCM of 550,195,289,206,122 with Prime Factorization

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

2 x 5 x 55 x 39 x 289 x 103 x 61 = 38948631150

Therefore, the lowest common multiple of 550,195,289,206,122 is 38948631150.

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.

550 x 195 x 289 x 206 x 122 = 778972623000

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.

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

195 : 1, 3, 5, 13, 15, 39, 65, 195

289 : 1, 17, 289

206 : 1, 2, 103, 206

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,195,289,206,122, is 1.

Now, the common factors can be found like this.

550:2x 5x 5x 11

195:3x 5x 13

289:17x 17

206:2x 103

122:2x 61

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 5 = 20

Therefore, the value for common factors is 20.

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 = 778972623000/(1x20)

LCM = 778972623000/20

LCM = 38948631150

Thus, we can understand that the LCM of 550,195,289,206,122 is 38948631150.

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

• LCM of 462, 630, 822, 902, 530
• LCM of 997, 391, 209, 536, 747
• LCM of 900, 556, 665, 870, 383
• LCM of 266, 788, 911, 912, 996
• LCM of 576, 621, 360, 152, 769

1. What is the LCM of 550, 195, 289, 206, 122?

Answer: LCM of 550, 195, 289, 206, 122 is 38948631150.

2. How to calculate the LCM of 550, 195, 289, 206, 122?

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 550, 195, 289, 206, 122.

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}.