LCM of 841, 218, 794, 922, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 218, 794, 922, 269 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 841, 218, 794, 922, 269. So, keep reading to learn more.
Given numbers are 841,218,794,922,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,218,794,922,269 is 9026018130674.
Find LCM of 841,218,794,922,269 with Prime Factorization
| 2 | 841, 218, 794, 922, 269 |
| 841, 109, 397, 461, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 841 x 109 x 397 x 461 x 269 = 9026018130674
Therefore, the lowest common multiple of 841,218,794,922,269 is 9026018130674.
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.
841 x 218 x 794 x 922 x 269 = 36104072522696
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.
841 : 1, 29, 841
218 : 1, 2, 109, 218
794 : 1, 2, 397, 794
922 : 1, 2, 461, 922
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,218,794,922,269, is 1.
Now, the common factors can be found like this.
841:29x 29
218:2x 109
794:2x 397
922:2x 461
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 36104072522696/(1x4)
LCM = 36104072522696/4
LCM = 9026018130674
Thus, we can understand that the LCM of 841,218,794,922,269 is 9026018130674.
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FAQs on LCM of 841, 218, 794, 922, 269
1. What is the LCM of 841, 218, 794, 922, 269?
Answer: LCM of 841, 218, 794, 922, 269 is 9026018130674.
2. How to calculate the LCM of 841, 218, 794, 922, 269?
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 841, 218, 794, 922, 269.
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}.