Given numbers are 105,214,538,687

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

The LCM of 105,214,538,687 is 1384174470.

Find LCM of 105,214,538,687 with Prime Factorization

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

2 x 3 x 35 x 107 x 269 x 229 = 1384174470

Therefore, the lowest common multiple of 105,214,538,687 is 1384174470.

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 214 x 538 x 687 = 8305046820

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

214 : 1, 2, 107, 214

538 : 1, 2, 269, 538

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,214,538,687, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

214:2x 107

538:2x 269

687:3x 229

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 8305046820/(1x6)

LCM = 8305046820/6

LCM = 1384174470

Thus, we can understand that the LCM of 105,214,538,687 is 1384174470.

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

• LCM of 531, 724, 492, 809
• LCM of 435, 442, 347, 604
• LCM of 456, 213, 920, 122
• LCM of 890, 887, 571, 464
• LCM of 190, 988, 380, 721

1. What is the LCM of 105, 214, 538, 687?

Answer: LCM of 105, 214, 538, 687 is 1384174470.

2. How to calculate the LCM of 105, 214, 538, 687?

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, 214, 538, 687.

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}.