LCM of 449, 548, 959, 704, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 548, 959, 704, 912 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 449, 548, 959, 704, 912. So, keep reading to learn more.
Given numbers are 449,548,959,704,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,548,959,704,912 is 17278755648.
Find LCM of 449,548,959,704,912 with Prime Factorization
| 2 | 449, 548, 959, 704, 912 |
| 2 | 449, 274, 959, 352, 456 |
| 2 | 449, 137, 959, 176, 228 |
| 2 | 449, 137, 959, 88, 114 |
| 137 | 449, 137, 959, 44, 57 |
| 449, 1, 7, 44, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 137 x 449 x 1 x 7 x 44 x 57 = 17278755648
Therefore, the lowest common multiple of 449,548,959,704,912 is 17278755648.
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.
449 x 548 x 959 x 704 x 912 = 151500129521664
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.
449 : 1, 449
548 : 1, 2, 4, 137, 274, 548
959 : 1, 7, 137, 959
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,548,959,704,912, is 1.
Now, the common factors can be found like this.
449:449
548:2x 2x 137
959:7x 137
704:2x 2x 2x 2x 2x 2x 11
912:2x 2x 2x 2x 3x 19
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 137 = 8768
Therefore, the value for common factors is 8768.
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 = 151500129521664/(1x8768)
LCM = 151500129521664/8768
LCM = 17278755648
Thus, we can understand that the LCM of 449,548,959,704,912 is 17278755648.
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FAQs on LCM of 449, 548, 959, 704, 912
1. What is the LCM of 449, 548, 959, 704, 912?
Answer: LCM of 449, 548, 959, 704, 912 is 17278755648.
2. How to calculate the LCM of 449, 548, 959, 704, 912?
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 449, 548, 959, 704, 912.
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}.