Given numbers are 214,170,389

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

The LCM of 214,170,389 is 7075910.

Find LCM of 214,170,389 with Prime Factorization

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

2 x 107 x 85 x 389 = 7075910

Therefore, the lowest common multiple of 214,170,389 is 7075910.

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.

214 x 170 x 389 = 14151820

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.

214 : 1, 2, 107, 214

170 : 1, 2, 5, 10, 17, 34, 85, 170

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,170,389, is 1.

Now, the common factors can be found like this.

214:2x 107

170:2x 5x 17

389:389

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 = 14151820/(1x2)

LCM = 14151820/2

LCM = 7075910

Thus, we can understand that the LCM of 214,170,389 is 7075910.

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

• LCM of 373, 534, 614
• LCM of 621, 969, 218
• LCM of 404, 315, 932
• LCM of 149, 819, 675
• LCM of 315, 759, 981

1. What is the LCM of 214, 170, 389?

Answer: LCM of 214, 170, 389 is 7075910.

2. How to calculate the LCM of 214, 170, 389?

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 214, 170, 389.

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}.