Given numbers are 105,93,519

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

The LCM of 105,93,519 is 563115.

Find LCM of 105,93,519 with Prime Factorization

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

3 x 35 x 31 x 173 = 563115

Therefore, the lowest common multiple of 105,93,519 is 563115.

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.

105 x 93 x 519 = 5068035

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.

105 : 1, 3, 5, 7, 15, 21, 35, 105

93 : 1, 3, 31, 93

519 : 1, 3, 173, 519

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,93,519, is 3.

Now, the common factors can be found like this.

105:3x 5x 7

93:3x 31

519:3x 173

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 = 5068035/(3x3)

LCM = 5068035/9

LCM = 563115

Thus, we can understand that the LCM of 105,93,519 is 563115.

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

• LCM of 875, 72, 281
• LCM of 880, 36, 748
• LCM of 173, 44, 571
• LCM of 588, 36, 425
• LCM of 688, 11, 457

1. What is the LCM of 105, 93, 519?

Answer: LCM of 105, 93, 519 is 563115.

2. How to calculate the LCM of 105, 93, 519?

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 105, 93, 519.

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}.