LCM of 242, 806, 338, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 806, 338, 891 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 242, 806, 338, 891. So, keep reading to learn more.
Given numbers are 242,806,338,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,806,338,891 is 102694878.
Find LCM of 242,806,338,891 with Prime Factorization
| 2 | 242, 806, 338, 891 |
| 11 | 121, 403, 169, 891 |
| 13 | 11, 403, 169, 81 |
| 11, 31, 13, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 11 x 31 x 13 x 81 = 102694878
Therefore, the lowest common multiple of 242,806,338,891 is 102694878.
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.
242 x 806 x 338 x 891 = 58741470216
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.
242 : 1, 2, 11, 22, 121, 242
806 : 1, 2, 13, 26, 31, 62, 403, 806
338 : 1, 2, 13, 26, 169, 338
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,806,338,891, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
806:2x 13x 31
338:2x 13x 13
891:3x 3x 3x 3x 11
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 58741470216/(1x572)
LCM = 58741470216/572
LCM = 102694878
Thus, we can understand that the LCM of 242,806,338,891 is 102694878.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 242, 806, 338, 891
1. What is the LCM of 242, 806, 338, 891?
Answer: LCM of 242, 806, 338, 891 is 102694878.
2. How to calculate the LCM of 242, 806, 338, 891?
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 242, 806, 338, 891.
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}.