LCM of 448, 978, 412, 384, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 978, 412, 384, 833 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, 978, 412, 384, 833. So, keep reading to learn more.
Given numbers are 448,978,412,384,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,978,412,384,833 is 5370331008.
Find LCM of 448,978,412,384,833 with Prime Factorization
| 2 | 448, 978, 412, 384, 833 |
| 2 | 224, 489, 206, 192, 833 |
| 2 | 112, 489, 103, 96, 833 |
| 2 | 56, 489, 103, 48, 833 |
| 2 | 28, 489, 103, 24, 833 |
| 2 | 14, 489, 103, 12, 833 |
| 3 | 7, 489, 103, 6, 833 |
| 7 | 7, 163, 103, 2, 833 |
| 1, 163, 103, 2, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 1 x 163 x 103 x 2 x 119 = 5370331008
Therefore, the lowest common multiple of 448,978,412,384,833 is 5370331008.
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 978 x 412 x 384 x 833 = 57741798998016
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
412 : 1, 2, 4, 103, 206, 412
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,978,412,384,833, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
978:2x 3x 163
412:2x 2x 103
384:2x 2x 2x 2x 2x 2x 2x 3
833:7x 7x 17
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 = 57741798998016/(1x10752)
LCM = 57741798998016/10752
LCM = 5370331008
Thus, we can understand that the LCM of 448,978,412,384,833 is 5370331008.
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FAQs on LCM of 448, 978, 412, 384, 833
1. What is the LCM of 448, 978, 412, 384, 833?
Answer: LCM of 448, 978, 412, 384, 833 is 5370331008.
2. How to calculate the LCM of 448, 978, 412, 384, 833?
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, 978, 412, 384, 833.
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}.