Given numbers are 105,717,676,412,812

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

The LCM of 105,717,676,412,812 is 50672125140.

Find LCM of 105,717,676,412,812 with Prime Factorization

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

2 x 2 x 3 x 7 x 5 x 239 x 169 x 103 x 29 = 50672125140

Therefore, the lowest common multiple of 105,717,676,412,812 is 50672125140.

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 717 x 676 x 412 x 812 = 17025834047040

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

717 : 1, 3, 239, 717

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,717,676,412,812, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

717:3x 239

676:2x 2x 13x 13

412:2x 2x 103

812:2x 2x 7x 29

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

2x 2x 2x 2x 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 17025834047040/(1x336)

LCM = 17025834047040/336

LCM = 50672125140

Thus, we can understand that the LCM of 105,717,676,412,812 is 50672125140.

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

• LCM of 718, 123, 103, 600, 859
• LCM of 150, 652, 332, 619, 185
• LCM of 793, 701, 604, 147, 909
• LCM of 429, 617, 338, 544, 145
• LCM of 825, 758, 595, 517, 216

1. What is the LCM of 105, 717, 676, 412, 812?

Answer: LCM of 105, 717, 676, 412, 812 is 50672125140.

2. How to calculate the LCM of 105, 717, 676, 412, 812?

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, 717, 676, 412, 812.

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}.