LCM of 992, 908, 144, 622
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 908, 144, 622 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 992, 908, 144, 622. So, keep reading to learn more.
Given numbers are 992,908,144,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,908,144,622 is 630290016.
Find LCM of 992,908,144,622 with Prime Factorization
| 2 | 992, 908, 144, 622 |
| 2 | 496, 454, 72, 311 |
| 2 | 248, 227, 36, 311 |
| 2 | 124, 227, 18, 311 |
| 62, 227, 9, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 62 x 227 x 9 x 311 = 630290016
Therefore, the lowest common multiple of 992,908,144,622 is 630290016.
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.
992 x 908 x 144 x 622 = 80677122048
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
908 : 1, 2, 4, 227, 454, 908
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
622 : 1, 2, 311, 622
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,908,144,622, is 2.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
908:2x 2x 227
144:2x 2x 2x 2x 3x 3
622:2x 311
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 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 80677122048/(2x64)
LCM = 80677122048/128
LCM = 630290016
Thus, we can understand that the LCM of 992,908,144,622 is 630290016.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 992, 908, 144, 622
1. What is the LCM of 992, 908, 144, 622?
Answer: LCM of 992, 908, 144, 622 is 630290016.
2. How to calculate the LCM of 992, 908, 144, 622?
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 992, 908, 144, 622.
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}.