LCM of 896, 723, 838, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 723, 838, 105 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, 723, 838, 105. So, keep reading to learn more.
Given numbers are 896,723,838,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,723,838,105 is 1357157760.
Find LCM of 896,723,838,105 with Prime Factorization
| 2 | 896, 723, 838, 105 |
| 3 | 448, 723, 419, 105 |
| 7 | 448, 241, 419, 35 |
| 64, 241, 419, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 64 x 241 x 419 x 5 = 1357157760
Therefore, the lowest common multiple of 896,723,838,105 is 1357157760.
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 723 x 838 x 105 = 57000625920
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
723 : 1, 3, 241, 723
838 : 1, 2, 419, 838
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,723,838,105, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
723:3x 241
838:2x 419
105:3x 5x 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 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 57000625920/(1x42)
LCM = 57000625920/42
LCM = 1357157760
Thus, we can understand that the LCM of 896,723,838,105 is 1357157760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 896, 723, 838, 105
1. What is the LCM of 896, 723, 838, 105?
Answer: LCM of 896, 723, 838, 105 is 1357157760.
2. How to calculate the LCM of 896, 723, 838, 105?
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, 723, 838, 105.
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}.