LCM of 844, 908, 474, 992, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 908, 474, 992, 948 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, 908, 474, 992, 948. So, keep reading to learn more.
Given numbers are 844,908,474,992,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,908,474,992,948 is 11260776288.
Find LCM of 844,908,474,992,948 with Prime Factorization
| 2 | 844, 908, 474, 992, 948 |
| 2 | 422, 454, 237, 496, 474 |
| 3 | 211, 227, 237, 248, 237 |
| 79 | 211, 227, 79, 248, 79 |
| 211, 227, 1, 248, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 79 x 211 x 227 x 1 x 248 x 1 = 11260776288
Therefore, the lowest common multiple of 844,908,474,992,948 is 11260776288.
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 908 x 474 x 992 x 948 = 341606909472768
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
908 : 1, 2, 4, 227, 454, 908
474 : 1, 2, 3, 6, 79, 158, 237, 474
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,908,474,992,948, is 2.
Now, the common factors can be found like this.
844:2x 2x 211
908:2x 2x 227
474:2x 3x 79
992:2x 2x 2x 2x 2x 31
948:2x 2x 3x 79
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 2x 3x 79 = 15168
Therefore, the value for common factors is 15168.
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 = 341606909472768/(2x15168)
LCM = 341606909472768/30336
LCM = 11260776288
Thus, we can understand that the LCM of 844,908,474,992,948 is 11260776288.
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FAQs on LCM of 844, 908, 474, 992, 948
1. What is the LCM of 844, 908, 474, 992, 948?
Answer: LCM of 844, 908, 474, 992, 948 is 11260776288.
2. How to calculate the LCM of 844, 908, 474, 992, 948?
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, 908, 474, 992, 948.
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}.