LCM of 574, 381, 438, 440, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 574, 381, 438, 440, 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 574, 381, 438, 440, 996. So, keep reading to learn more.
Given numbers are 574,381,438,440,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,381,438,440,996 is 291514728120.
Find LCM of 574,381,438,440,996 with Prime Factorization
| 2 | 574, 381, 438, 440, 996 |
| 2 | 287, 381, 219, 220, 498 |
| 3 | 287, 381, 219, 110, 249 |
| 287, 127, 73, 110, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 287 x 127 x 73 x 110 x 83 = 291514728120
Therefore, the lowest common multiple of 574,381,438,440,996 is 291514728120.
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.
574 x 381 x 438 x 440 x 996 = 41978120849280
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.
574 : 1, 2, 7, 14, 41, 82, 287, 574
381 : 1, 3, 127, 381
438 : 1, 2, 3, 6, 73, 146, 219, 438
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,381,438,440,996, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
381:3x 127
438:2x 3x 73
440:2x 2x 2x 5x 11
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 = 41978120849280/(1x144)
LCM = 41978120849280/144
LCM = 291514728120
Thus, we can understand that the LCM of 574,381,438,440,996 is 291514728120.
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FAQs on LCM of 574, 381, 438, 440, 996
1. What is the LCM of 574, 381, 438, 440, 996?
Answer: LCM of 574, 381, 438, 440, 996 is 291514728120.
2. How to calculate the LCM of 574, 381, 438, 440, 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 574, 381, 438, 440, 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}.