LCM of 896, 518, 448, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 518, 448, 179 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 896, 518, 448, 179. So, keep reading to learn more.
Given numbers are 896,518,448,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,518,448,179 is 5934208.
Find LCM of 896,518,448,179 with Prime Factorization
| 2 | 896, 518, 448, 179 |
| 2 | 448, 259, 224, 179 |
| 2 | 112, 259, 224, 179 |
| 2 | 56, 259, 112, 179 |
| 2 | 28, 259, 56, 179 |
| 2 | 14, 259, 28, 179 |
| 7 | 7, 259, 14, 179 |
| 1, 37, 2, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 7 x 1 x 37 x 2 x 179 = 5934208
Therefore, the lowest common multiple of 896,518,448,179 is 5934208.
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.
896 x 518 x 448 x 179 = 37219352576
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
518 : 1, 2, 7, 14, 37, 74, 259, 518
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,518,448,179, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
518:2x 7x 37
448:2x 2x 2x 2x 2x 2x 7
179:179
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 7x 7 = 6272
Therefore, the value for common factors is 6272.
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 = 37219352576/(1x6272)
LCM = 37219352576/6272
LCM = 5934208
Thus, we can understand that the LCM of 896,518,448,179 is 5934208.
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FAQs on LCM of 896, 518, 448, 179
1. What is the LCM of 896, 518, 448, 179?
Answer: LCM of 896, 518, 448, 179 is 5934208.
2. How to calculate the LCM of 896, 518, 448, 179?
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 896, 518, 448, 179.
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}.