LCM of 926, 478, 582, 576, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 478, 582, 576, 996 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 926, 478, 582, 576, 996. So, keep reading to learn more.
Given numbers are 926,478,582,576,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,478,582,576,996 is 513158116032.
Find LCM of 926,478,582,576,996 with Prime Factorization
| 2 | 926, 478, 582, 576, 996 |
| 2 | 463, 239, 291, 288, 498 |
| 3 | 463, 239, 291, 144, 249 |
| 463, 239, 97, 48, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 463 x 239 x 97 x 48 x 83 = 513158116032
Therefore, the lowest common multiple of 926,478,582,576,996 is 513158116032.
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.
926 x 478 x 582 x 576 x 996 = 147789537417216
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.
926 : 1, 2, 463, 926
478 : 1, 2, 239, 478
582 : 1, 2, 3, 6, 97, 194, 291, 582
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,478,582,576,996, is 2.
Now, the common factors can be found like this.
926:2x 463
478:2x 239
582:2x 3x 97
576:2x 2x 2x 2x 2x 2x 3x 3
996:2x 2x 3x 83
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 147789537417216/(2x144)
LCM = 147789537417216/288
LCM = 513158116032
Thus, we can understand that the LCM of 926,478,582,576,996 is 513158116032.
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FAQs on LCM of 926, 478, 582, 576, 996
1. What is the LCM of 926, 478, 582, 576, 996?
Answer: LCM of 926, 478, 582, 576, 996 is 513158116032.
2. How to calculate the LCM of 926, 478, 582, 576, 996?
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 926, 478, 582, 576, 996.
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}.