LCM of 448, 333, 296, 278, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 333, 296, 278, 928 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, 333, 296, 278, 928. So, keep reading to learn more.
Given numbers are 448,333,296,278,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,333,296,278,928 is 601360704.
Find LCM of 448,333,296,278,928 with Prime Factorization
| 2 | 448, 333, 296, 278, 928 |
| 2 | 224, 333, 148, 139, 464 |
| 2 | 112, 333, 74, 139, 232 |
| 2 | 56, 333, 37, 139, 116 |
| 2 | 28, 333, 37, 139, 58 |
| 37 | 14, 333, 37, 139, 29 |
| 14, 9, 1, 139, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 37 x 14 x 9 x 1 x 139 x 29 = 601360704
Therefore, the lowest common multiple of 448,333,296,278,928 is 601360704.
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 333 x 296 x 278 x 928 = 11392177176576
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
333 : 1, 3, 9, 37, 111, 333
296 : 1, 2, 4, 8, 37, 74, 148, 296
278 : 1, 2, 139, 278
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,333,296,278,928, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
333:3x 3x 37
296:2x 2x 2x 37
278:2x 139
928:2x 2x 2x 2x 2x 29
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 37 = 18944
Therefore, the value for common factors is 18944.
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 = 11392177176576/(1x18944)
LCM = 11392177176576/18944
LCM = 601360704
Thus, we can understand that the LCM of 448,333,296,278,928 is 601360704.
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FAQs on LCM of 448, 333, 296, 278, 928
1. What is the LCM of 448, 333, 296, 278, 928?
Answer: LCM of 448, 333, 296, 278, 928 is 601360704.
2. How to calculate the LCM of 448, 333, 296, 278, 928?
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, 333, 296, 278, 928.
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}.