Given numbers are 105,514,497,412

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

The LCM of 105,514,497,412 is 789365220.

Find LCM of 105,514,497,412 with Prime Factorization

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

2 x 7 x 15 x 257 x 71 x 206 = 789365220

Therefore, the lowest common multiple of 105,514,497,412 is 789365220.

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 514 x 497 x 412 = 11051113080

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

514 : 1, 2, 257, 514

497 : 1, 7, 71, 497

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,514,497,412, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

514:2x 257

497:7x 71

412:2x 2x 103

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 11051113080/(1x14)

LCM = 11051113080/14

LCM = 789365220

Thus, we can understand that the LCM of 105,514,497,412 is 789365220.

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

• LCM of 212, 766, 520, 227
• LCM of 896, 792, 500, 915
• LCM of 847, 892, 228, 118
• LCM of 679, 166, 435, 731
• LCM of 545, 750, 449, 519

1. What is the LCM of 105, 514, 497, 412?

Answer: LCM of 105, 514, 497, 412 is 789365220.

2. How to calculate the LCM of 105, 514, 497, 412?

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, 514, 497, 412.

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}.