Given numbers are 206,206,322,24

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

The LCM of 206,206,322,24 is 397992.

Find LCM of 206,206,322,24 with Prime Factorization

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

2 x 103 x 1 x 1 x 161 x 12 = 397992

Therefore, the lowest common multiple of 206,206,322,24 is 397992.

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 206 x 322 x 24 = 327945408

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

206 : 1, 2, 103, 206

322 : 1, 2, 7, 14, 23, 46, 161, 322

24 : 1, 2, 3, 4, 6, 8, 12, 24

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,206,322,24, is 2.

Now, the common factors can be found like this.

206:2x 103

206:2x 103

322:2x 7x 23

24:2x 2x 2x 3

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 103 = 412

Therefore, the value for common factors is 412.

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 = 327945408/(2x412)

LCM = 327945408/824

LCM = 397992

Thus, we can understand that the LCM of 206,206,322,24 is 397992.

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

• LCM of 777, 255, 413, 78
• LCM of 559, 341, 971, 16
• LCM of 198, 948, 484, 24
• LCM of 849, 340, 146, 51
• LCM of 221, 717, 282, 50

1. What is the LCM of 206, 206, 322, 24?

Answer: LCM of 206, 206, 322, 24 is 397992.

2. How to calculate the LCM of 206, 206, 322, 24?

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, 206, 322, 24.

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}.