LCM of 784, 728, 238, 882, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 728, 238, 882, 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 784, 728, 238, 882, 868. So, keep reading to learn more.
Given numbers are 784,728,238,882,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,728,238,882,868 is 48340656.
Find LCM of 784,728,238,882,868 with Prime Factorization
| 2 | 784, 728, 238, 882, 868 |
| 2 | 392, 364, 119, 441, 434 |
| 2 | 196, 182, 119, 441, 217 |
| 7 | 98, 91, 119, 441, 217 |
| 7 | 14, 13, 17, 63, 31 |
| 2, 13, 17, 9, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 7 x 2 x 13 x 17 x 9 x 31 = 48340656
Therefore, the lowest common multiple of 784,728,238,882,868 is 48340656.
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.
784 x 728 x 238 x 882 x 868 = 103995059890176
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
238 : 1, 2, 7, 14, 17, 34, 119, 238
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,728,238,882,868, is 14.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
728:2x 2x 2x 7x 13
238:2x 7x 17
882:2x 3x 3x 7x 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 7x 7x 7 = 153664
Therefore, the value for common factors is 153664.
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 = 103995059890176/(14x153664)
LCM = 103995059890176/2151296
LCM = 48340656
Thus, we can understand that the LCM of 784,728,238,882,868 is 48340656.
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FAQs on LCM of 784, 728, 238, 882, 868
1. What is the LCM of 784, 728, 238, 882, 868?
Answer: LCM of 784, 728, 238, 882, 868 is 48340656.
2. How to calculate the LCM of 784, 728, 238, 882, 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 784, 728, 238, 882, 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}.