Given numbers are 1994,8214

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

The LCM of 1994,8214 is 8189358.

Find LCM of 1994,8214 with Prime Factorization

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

2 x 997 x 4107 = 8189358

Therefore, the lowest common multiple of 1994,8214 is 8189358.

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.

1994 x 8214 = 16378716

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.

1994 : 1, 2, 997, 1994

8214 : 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1994,8214, is 2.

Now, the common factors can be found like this.

1994:2x 997

8214:2x 3x 37x 37

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

= 1

Therefore, the value for common factors is 1.

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 = 16378716/(2x1)

LCM = 16378716/2

LCM = 8189358

Thus, we can understand that the LCM of 1994,8214 is 8189358.

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

• LCM of 6768, 3974
• LCM of 3884, 6951
• LCM of 5242, 9628
• LCM of 4130, 5764
• LCM of 9906, 9895

1. What is the LCM of 1994, 8214?

Answer: LCM of 1994, 8214 is 8189358.

2. How to calculate the LCM of 1994, 8214?

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 1994, 8214.

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}.