LCM of 448, 788, 566, 876, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 788, 566, 876, 672 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 448, 788, 566, 876, 672. So, keep reading to learn more.
Given numbers are 448,788,566,876,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,788,566,876,672 is 5469842112.
Find LCM of 448,788,566,876,672 with Prime Factorization
| 2 | 448, 788, 566, 876, 672 |
| 2 | 224, 394, 283, 438, 336 |
| 2 | 112, 197, 283, 219, 168 |
| 2 | 56, 197, 283, 219, 84 |
| 2 | 28, 197, 283, 219, 42 |
| 3 | 14, 197, 283, 219, 21 |
| 7 | 14, 197, 283, 73, 7 |
| 2, 197, 283, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 2 x 197 x 283 x 73 x 1 = 5469842112
Therefore, the lowest common multiple of 448,788,566,876,672 is 5469842112.
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.
448 x 788 x 566 x 876 x 672 = 117623484776448
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
788 : 1, 2, 4, 197, 394, 788
566 : 1, 2, 283, 566
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,788,566,876,672, is 2.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
788:2x 2x 197
566:2x 283
876:2x 2x 3x 73
672:2x 2x 2x 2x 2x 3x 7
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 2x 2x 2x 3x 7 = 10752
Therefore, the value for common factors is 10752.
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 = 117623484776448/(2x10752)
LCM = 117623484776448/21504
LCM = 5469842112
Thus, we can understand that the LCM of 448,788,566,876,672 is 5469842112.
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FAQs on LCM of 448, 788, 566, 876, 672
1. What is the LCM of 448, 788, 566, 876, 672?
Answer: LCM of 448, 788, 566, 876, 672 is 5469842112.
2. How to calculate the LCM of 448, 788, 566, 876, 672?
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 448, 788, 566, 876, 672.
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}.