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LCM of 805, 676, 207, 198, 872

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 805, 676, 207, 198, 872 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 805, 676, 207, 198, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 805,676,207,198,872

Given numbers are 805,676,207,198,872

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

The LCM of 805,676,207,198,872 is 11744492760.

Find LCM of 805,676,207,198,872 with Prime Factorization


2 805, 676, 207, 198, 872
2 805, 338, 207, 99, 436
3 805, 169, 207, 99, 218
3 805, 169, 69, 33, 218
23 805, 169, 23, 11, 218
35, 169, 1, 11, 218

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

2 x 2 x 3 x 3 x 23 x 35 x 169 x 1 x 11 x 218 = 11744492760

Therefore, the lowest common multiple of 805,676,207,198,872 is 11744492760.

LCM Formula to Find Lowest Common Multiple of 805,676,207,198,872

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.

805 x 676 x 207 x 198 x 872 = 19448880010560

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.

805 : 1, 5, 7, 23, 35, 115, 161, 805

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

207 : 1, 3, 9, 23, 69, 207

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,676,207,198,872, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

676:2x 2x 13x 13

207:3x 3x 23

198:2x 3x 3x 11

872:2x 2x 2x 109

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 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 19448880010560/(1x1656)

LCM = 19448880010560/1656

LCM = 11744492760

Thus, we can understand that the LCM of 805,676,207,198,872 is 11744492760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 805, 676, 207, 198, 872

1. What is the LCM of 805, 676, 207, 198, 872?

Answer: LCM of 805, 676, 207, 198, 872 is 11744492760.

2. How to calculate the LCM of 805, 676, 207, 198, 872?

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 805, 676, 207, 198, 872.

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}.