LCM of 981, 770, 360, 869, 227
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 770, 360, 869, 227 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 981, 770, 360, 869, 227. So, keep reading to learn more.
Given numbers are 981,770,360,869,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,770,360,869,227 is 54184200840.
Find LCM of 981,770,360,869,227 with Prime Factorization
| 2 | 981, 770, 360, 869, 227 |
| 3 | 981, 385, 180, 869, 227 |
| 3 | 327, 385, 60, 869, 227 |
| 5 | 109, 385, 20, 869, 227 |
| 11 | 109, 77, 4, 869, 227 |
| 109, 7, 4, 79, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 109 x 7 x 4 x 79 x 227 = 54184200840
Therefore, the lowest common multiple of 981,770,360,869,227 is 54184200840.
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.
981 x 770 x 360 x 869 x 227 = 53642358831600
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.
981 : 1, 3, 9, 109, 327, 981
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
869 : 1, 11, 79, 869
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,770,360,869,227, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
770:2x 5x 7x 11
360:2x 2x 2x 3x 3x 5
869:11x 79
227:227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 11 = 990
Therefore, the value for common factors is 990.
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 = 53642358831600/(1x990)
LCM = 53642358831600/990
LCM = 54184200840
Thus, we can understand that the LCM of 981,770,360,869,227 is 54184200840.
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FAQs on LCM of 981, 770, 360, 869, 227
1. What is the LCM of 981, 770, 360, 869, 227?
Answer: LCM of 981, 770, 360, 869, 227 is 54184200840.
2. How to calculate the LCM of 981, 770, 360, 869, 227?
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 981, 770, 360, 869, 227.
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}.