LCM of 5876, 6968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5876, 6968 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 5876, 6968. So, keep reading to learn more.
Given numbers are 5876,6968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5876,6968 is 787384.
Find LCM of 5876,6968 with Prime Factorization
| 2 | 5876, 6968 |
| 2 | 2938, 3484 |
| 13 | 1469, 1742 |
| 113, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 113 x 134 = 787384
Therefore, the lowest common multiple of 5876,6968 is 787384.
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.
5876 x 6968 = 40943968
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.
5876 : 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876
6968 : 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968
52 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5876,6968, is 52.
Now, the common factors can be found like this.
5876:2x 2x 13x 113
6968:2x 2x 2x 13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 40943968/(52x1)
LCM = 40943968/52
LCM = 787384
Thus, we can understand that the LCM of 5876,6968 is 787384.
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FAQs on LCM of 5876, 6968
1. What is the LCM of 5876, 6968?
Answer: LCM of 5876, 6968 is 787384.
2. How to calculate the LCM of 5876, 6968?
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 5876, 6968.
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}.