LCM of 834, 156, 646, 728, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 156, 646, 728, 896 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 834, 156, 646, 728, 896. So, keep reading to learn more.
Given numbers are 834,156,646,728,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,156,646,728,896 is 1568880768.
Find LCM of 834,156,646,728,896 with Prime Factorization
| 2 | 834, 156, 646, 728, 896 |
| 2 | 417, 78, 323, 364, 448 |
| 2 | 417, 39, 323, 182, 224 |
| 3 | 417, 39, 323, 91, 112 |
| 7 | 139, 13, 323, 91, 112 |
| 13 | 139, 13, 323, 13, 16 |
| 139, 1, 323, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 139 x 1 x 323 x 1 x 16 = 1568880768
Therefore, the lowest common multiple of 834,156,646,728,896 is 1568880768.
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.
834 x 156 x 646 x 728 x 896 = 54822969556992
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
646 : 1, 2, 17, 19, 34, 38, 323, 646
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,156,646,728,896, is 2.
Now, the common factors can be found like this.
834:2x 3x 139
156:2x 2x 3x 13
646:2x 17x 19
728:2x 2x 2x 7x 13
896:2x 2x 2x 2x 2x 2x 2x 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 3x 7x 13 = 17472
Therefore, the value for common factors is 17472.
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 = 54822969556992/(2x17472)
LCM = 54822969556992/34944
LCM = 1568880768
Thus, we can understand that the LCM of 834,156,646,728,896 is 1568880768.
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FAQs on LCM of 834, 156, 646, 728, 896
1. What is the LCM of 834, 156, 646, 728, 896?
Answer: LCM of 834, 156, 646, 728, 896 is 1568880768.
2. How to calculate the LCM of 834, 156, 646, 728, 896?
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 834, 156, 646, 728, 896.
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}.