Given numbers are 994,75,214

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

The LCM of 994,75,214 is 7976850.

Find LCM of 994,75,214 with Prime Factorization

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

2 x 497 x 75 x 107 = 7976850

Therefore, the lowest common multiple of 994,75,214 is 7976850.

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.

994 x 75 x 214 = 15953700

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.

994 : 1, 2, 7, 14, 71, 142, 497, 994

75 : 1, 3, 5, 15, 25, 75

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,75,214, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

75:3x 5x 5

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.

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 = 15953700/(1x2)

LCM = 15953700/2

LCM = 7976850

Thus, we can understand that the LCM of 994,75,214 is 7976850.

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

• LCM of 770, 55, 779
• LCM of 486, 91, 123
• LCM of 909, 93, 682
• LCM of 136, 21, 579
• LCM of 329, 35, 215

1. What is the LCM of 994, 75, 214?

Answer: LCM of 994, 75, 214 is 7976850.

2. How to calculate the LCM of 994, 75, 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 994, 75, 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}.