Given numbers are 206,816,120,212,214

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

The LCM of 206,816,120,212,214 is 2383181040.

Find LCM of 206,816,120,212,214 with Prime Factorization

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

2 x 2 x 2 x 3 x 103 x 34 x 5 x 53 x 107 = 2383181040

Therefore, the lowest common multiple of 206,816,120,212,214 is 2383181040.

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 816 x 120 x 212 x 214 = 915141519360

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,816,120,212,214, is 2.

Now, the common factors can be found like this.

206:2x 103

816:2x 2x 2x 2x 3x 17

120:2x 2x 2x 3x 5

212:2x 2x 53

214:2x 107

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 915141519360/(2x192)

LCM = 915141519360/384

LCM = 2383181040

Thus, we can understand that the LCM of 206,816,120,212,214 is 2383181040.

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

• LCM of 403, 303, 610, 181, 972
• LCM of 795, 647, 766, 654, 678
• LCM of 811, 599, 995, 327, 374
• LCM of 129, 718, 445, 738, 514
• LCM of 826, 871, 852, 644, 319

1. What is the LCM of 206, 816, 120, 212, 214?

Answer: LCM of 206, 816, 120, 212, 214 is 2383181040.

2. How to calculate the LCM of 206, 816, 120, 212, 214?

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, 816, 120, 212, 214.

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}.