Given numbers are 519,171,214

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

The LCM of 519,171,214 is 6330762.

Find LCM of 519,171,214 with Prime Factorization

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

3 x 173 x 57 x 214 = 6330762

Therefore, the lowest common multiple of 519,171,214 is 6330762.

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.

519 x 171 x 214 = 18992286

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.

519 : 1, 3, 173, 519

171 : 1, 3, 9, 19, 57, 171

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,171,214, is 1.

Now, the common factors can be found like this.

519:3x 173

171:3x 3x 19

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 18992286/(1x3)

LCM = 18992286/3

LCM = 6330762

Thus, we can understand that the LCM of 519,171,214 is 6330762.

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

• LCM of 608, 672, 658
• LCM of 300, 853, 164
• LCM of 882, 503, 891
• LCM of 331, 213, 384
• LCM of 717, 991, 751

1. What is the LCM of 519, 171, 214?

Answer: LCM of 519, 171, 214 is 6330762.

2. How to calculate the LCM of 519, 171, 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 519, 171, 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}.