Given numbers are 206,208,198,341,596

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

The LCM of 206,208,198,341,596 is 9796788144.

Find LCM of 206,208,198,341,596 with Prime Factorization

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

2 x 2 x 11 x 103 x 52 x 9 x 31 x 149 = 9796788144

Therefore, the lowest common multiple of 206,208,198,341,596 is 9796788144.

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.

206 x 208 x 198 x 341 x 596 = 1724234713344

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.

206 : 1, 2, 103, 206

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

341 : 1, 11, 31, 341

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,208,198,341,596, is 1.

Now, the common factors can be found like this.

206:2x 103

208:2x 2x 2x 2x 13

198:2x 3x 3x 11

341:11x 31

596:2x 2x 149

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 11 = 176

Therefore, the value for common factors is 176.

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 = 1724234713344/(1x176)

LCM = 1724234713344/176

LCM = 9796788144

Thus, we can understand that the LCM of 206,208,198,341,596 is 9796788144.

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

• LCM of 737, 655, 594, 210, 190
• LCM of 941, 942, 718, 123, 904
• LCM of 101, 836, 936, 279, 505
• LCM of 268, 773, 149, 942, 735
• LCM of 788, 260, 304, 323, 216

1. What is the LCM of 206, 208, 198, 341, 596?

Answer: LCM of 206, 208, 198, 341, 596 is 9796788144.

2. How to calculate the LCM of 206, 208, 198, 341, 596?

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 206, 208, 198, 341, 596.

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}.