LCM of 851, 104, 882, 896, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 104, 882, 896, 868 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 851, 104, 882, 896, 868. So, keep reading to learn more.
Given numbers are 851,104,882,896,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,104,882,896,868 is 19359010944.
Find LCM of 851,104,882,896,868 with Prime Factorization
| 2 | 851, 104, 882, 896, 868 |
| 2 | 851, 52, 441, 448, 434 |
| 2 | 851, 26, 441, 224, 217 |
| 7 | 851, 13, 441, 112, 217 |
| 851, 13, 63, 16, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 851 x 13 x 63 x 16 x 31 = 19359010944
Therefore, the lowest common multiple of 851,104,882,896,868 is 19359010944.
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.
851 x 104 x 882 x 896 x 868 = 60709858320384
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.
851 : 1, 23, 37, 851
104 : 1, 2, 4, 8, 13, 26, 52, 104
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,104,882,896,868, is 1.
Now, the common factors can be found like this.
851:23x 37
104:2x 2x 2x 13
882:2x 3x 3x 7x 7
896:2x 2x 2x 2x 2x 2x 2x 7
868:2x 2x 7x 31
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 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 60709858320384/(1x3136)
LCM = 60709858320384/3136
LCM = 19359010944
Thus, we can understand that the LCM of 851,104,882,896,868 is 19359010944.
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FAQs on LCM of 851, 104, 882, 896, 868
1. What is the LCM of 851, 104, 882, 896, 868?
Answer: LCM of 851, 104, 882, 896, 868 is 19359010944.
2. How to calculate the LCM of 851, 104, 882, 896, 868?
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 851, 104, 882, 896, 868.
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}.