Given numbers are 338,206,850,204,424

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

The LCM of 338,206,850,204,424 is 9410224200.

Find LCM of 338,206,850,204,424 with Prime Factorization

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

2 x 2 x 17 x 169 x 103 x 25 x 3 x 106 = 9410224200

Therefore, the lowest common multiple of 338,206,850,204,424 is 9410224200.

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.

338 x 206 x 850 x 204 x 424 = 5119161964800

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.

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

206 : 1, 2, 103, 206

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

424 : 1, 2, 4, 8, 53, 106, 212, 424

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,206,850,204,424, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

206:2x 103

850:2x 5x 5x 17

204:2x 2x 3x 17

424:2x 2x 2x 53

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 17 = 272

Therefore, the value for common factors is 272.

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 = 5119161964800/(2x272)

LCM = 5119161964800/544

LCM = 9410224200

Thus, we can understand that the LCM of 338,206,850,204,424 is 9410224200.

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

• LCM of 727, 284, 751, 985, 920
• LCM of 584, 565, 595, 375, 125
• LCM of 180, 845, 751, 946, 200
• LCM of 809, 843, 734, 693, 132
• LCM of 498, 647, 958, 290, 475

1. What is the LCM of 338, 206, 850, 204, 424?

Answer: LCM of 338, 206, 850, 204, 424 is 9410224200.

2. How to calculate the LCM of 338, 206, 850, 204, 424?

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 338, 206, 850, 204, 424.

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}.