Given numbers are 206,199,218,344

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

The LCM of 206,199,218,344 is 768555512.

Find LCM of 206,199,218,344 with Prime Factorization

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

2 x 103 x 199 x 109 x 172 = 768555512

Therefore, the lowest common multiple of 206,199,218,344 is 768555512.

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 199 x 218 x 344 = 3074222048

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

199 : 1, 199

218 : 1, 2, 109, 218

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,199,218,344, is 1.

Now, the common factors can be found like this.

206:2x 103

199:199

218:2x 109

344:2x 2x 2x 43

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 = 3074222048/(1x4)

LCM = 3074222048/4

LCM = 768555512

Thus, we can understand that the LCM of 206,199,218,344 is 768555512.

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

• LCM of 955, 147, 200, 693
• LCM of 229, 878, 205, 918
• LCM of 847, 690, 445, 741
• LCM of 624, 382, 673, 708
• LCM of 813, 775, 523, 741

1. What is the LCM of 206, 199, 218, 344?

Answer: LCM of 206, 199, 218, 344 is 768555512.

2. How to calculate the LCM of 206, 199, 218, 344?

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, 199, 218, 344.

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}.