Given numbers are 206,421,814

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

The LCM of 206,421,814 is 35297482.

Find LCM of 206,421,814 with Prime Factorization

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

2 x 103 x 421 x 407 = 35297482

Therefore, the lowest common multiple of 206,421,814 is 35297482.

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 421 x 814 = 70594964

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

421 : 1, 421

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,421,814, is 1.

Now, the common factors can be found like this.

206:2x 103

421:421

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 70594964/(1x2)

LCM = 70594964/2

LCM = 35297482

Thus, we can understand that the LCM of 206,421,814 is 35297482.

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

• LCM of 111, 393, 114
• LCM of 813, 385, 762
• LCM of 811, 824, 262
• LCM of 265, 600, 421
• LCM of 717, 696, 293

1. What is the LCM of 206, 421, 814?

Answer: LCM of 206, 421, 814 is 35297482.

2. How to calculate the LCM of 206, 421, 814?

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, 421, 814.

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}.