Given numbers are 986,50,214

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

The LCM of 986,50,214 is 2637550.

Find LCM of 986,50,214 with Prime Factorization

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

2 x 493 x 25 x 107 = 2637550

Therefore, the lowest common multiple of 986,50,214 is 2637550.

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.

986 x 50 x 214 = 10550200

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

50 : 1, 2, 5, 10, 25, 50

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,50,214, is 2.

Now, the common factors can be found like this.

986:2x 17x 29

50:2x 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 = 10550200/(2x2)

LCM = 10550200/4

LCM = 2637550

Thus, we can understand that the LCM of 986,50,214 is 2637550.

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

• LCM of 265, 98, 453
• LCM of 623, 22, 727
• LCM of 412, 43, 836
• LCM of 598, 18, 545
• LCM of 638, 95, 984

1. What is the LCM of 986, 50, 214?

Answer: LCM of 986, 50, 214 is 2637550.

2. How to calculate the LCM of 986, 50, 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 986, 50, 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}.