LCM of 721, 869, 285, 228, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 869, 285, 228, 908 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 721, 869, 285, 228, 908. So, keep reading to learn more.
Given numbers are 721,869,285,228,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,869,285,228,908 is 162138350220.
Find LCM of 721,869,285,228,908 with Prime Factorization
| 2 | 721, 869, 285, 228, 908 |
| 2 | 721, 869, 285, 114, 454 |
| 3 | 721, 869, 285, 57, 227 |
| 19 | 721, 869, 95, 19, 227 |
| 721, 869, 5, 1, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 721 x 869 x 5 x 1 x 227 = 162138350220
Therefore, the lowest common multiple of 721,869,285,228,908 is 162138350220.
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.
721 x 869 x 285 x 228 x 908 = 36967543850160
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.
721 : 1, 7, 103, 721
869 : 1, 11, 79, 869
285 : 1, 3, 5, 15, 19, 57, 95, 285
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,869,285,228,908, is 1.
Now, the common factors can be found like this.
721:7x 103
869:11x 79
285:3x 5x 19
228:2x 2x 3x 19
908:2x 2x 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 2x 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 36967543850160/(1x228)
LCM = 36967543850160/228
LCM = 162138350220
Thus, we can understand that the LCM of 721,869,285,228,908 is 162138350220.
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FAQs on LCM of 721, 869, 285, 228, 908
1. What is the LCM of 721, 869, 285, 228, 908?
Answer: LCM of 721, 869, 285, 228, 908 is 162138350220.
2. How to calculate the LCM of 721, 869, 285, 228, 908?
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 721, 869, 285, 228, 908.
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}.