LCM of 844, 969, 228, 323, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 969, 228, 323, 981 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 844, 969, 228, 323, 981. So, keep reading to learn more.
Given numbers are 844,969,228,323,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,969,228,323,981 is 267432372.
Find LCM of 844,969,228,323,981 with Prime Factorization
| 2 | 844, 969, 228, 323, 981 |
| 2 | 422, 969, 114, 323, 981 |
| 3 | 211, 969, 57, 323, 981 |
| 17 | 211, 323, 19, 323, 327 |
| 19 | 211, 19, 19, 19, 327 |
| 211, 1, 1, 1, 327 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 211 x 1 x 1 x 1 x 327 = 267432372
Therefore, the lowest common multiple of 844,969,228,323,981 is 267432372.
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.
844 x 969 x 228 x 323 x 981 = 59084368810704
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.
844 : 1, 2, 4, 211, 422, 844
969 : 1, 3, 17, 19, 51, 57, 323, 969
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
323 : 1, 17, 19, 323
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,969,228,323,981, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
969:3x 17x 19
228:2x 2x 3x 19
323:17x 19
981:3x 3x 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 3x 3x 17x 19x 19 = 220932
Therefore, the value for common factors is 220932.
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 = 59084368810704/(1x220932)
LCM = 59084368810704/220932
LCM = 267432372
Thus, we can understand that the LCM of 844,969,228,323,981 is 267432372.
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FAQs on LCM of 844, 969, 228, 323, 981
1. What is the LCM of 844, 969, 228, 323, 981?
Answer: LCM of 844, 969, 228, 323, 981 is 267432372.
2. How to calculate the LCM of 844, 969, 228, 323, 981?
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 844, 969, 228, 323, 981.
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}.