LCM of 822, 244, 253, 836, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 244, 253, 836, 989 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 822, 244, 253, 836, 989. So, keep reading to learn more.
Given numbers are 822,244,253,836,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,244,253,836,989 is 20728803084.
Find LCM of 822,244,253,836,989 with Prime Factorization
| 2 | 822, 244, 253, 836, 989 |
| 2 | 411, 122, 253, 418, 989 |
| 11 | 411, 61, 253, 209, 989 |
| 23 | 411, 61, 23, 19, 989 |
| 411, 61, 1, 19, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 23 x 411 x 61 x 1 x 19 x 43 = 20728803084
Therefore, the lowest common multiple of 822,244,253,836,989 is 20728803084.
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.
822 x 244 x 253 x 836 x 989 = 41955097442016
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
244 : 1, 2, 4, 61, 122, 244
253 : 1, 11, 23, 253
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,244,253,836,989, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
244:2x 2x 61
253:11x 23
836:2x 2x 11x 19
989:23x 43
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 11x 23 = 2024
Therefore, the value for common factors is 2024.
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 = 41955097442016/(1x2024)
LCM = 41955097442016/2024
LCM = 20728803084
Thus, we can understand that the LCM of 822,244,253,836,989 is 20728803084.
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FAQs on LCM of 822, 244, 253, 836, 989
1. What is the LCM of 822, 244, 253, 836, 989?
Answer: LCM of 822, 244, 253, 836, 989 is 20728803084.
2. How to calculate the LCM of 822, 244, 253, 836, 989?
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 822, 244, 253, 836, 989.
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}.