LCM of 818, 922, 845, 869, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 922, 845, 869, 338 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 818, 922, 845, 869, 338. So, keep reading to learn more.
Given numbers are 818,922,845,869,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,922,845,869,338 is 276904946890.
Find LCM of 818,922,845,869,338 with Prime Factorization
| 2 | 818, 922, 845, 869, 338 |
| 13 | 409, 461, 845, 869, 169 |
| 13 | 409, 461, 65, 869, 13 |
| 409, 461, 5, 869, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 409 x 461 x 5 x 869 x 1 = 276904946890
Therefore, the lowest common multiple of 818,922,845,869,338 is 276904946890.
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.
818 x 922 x 845 x 869 x 338 = 187187744097640
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.
818 : 1, 2, 409, 818
922 : 1, 2, 461, 922
845 : 1, 5, 13, 65, 169, 845
869 : 1, 11, 79, 869
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,922,845,869,338, is 1.
Now, the common factors can be found like this.
818:2x 409
922:2x 461
845:5x 13x 13
869:11x 79
338:2x 13x 13
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 187187744097640/(1x676)
LCM = 187187744097640/676
LCM = 276904946890
Thus, we can understand that the LCM of 818,922,845,869,338 is 276904946890.
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FAQs on LCM of 818, 922, 845, 869, 338
1. What is the LCM of 818, 922, 845, 869, 338?
Answer: LCM of 818, 922, 845, 869, 338 is 276904946890.
2. How to calculate the LCM of 818, 922, 845, 869, 338?
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 818, 922, 845, 869, 338.
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}.