LCM of 869, 896, 539, 388, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 896, 539, 388, 989 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 869, 896, 539, 388, 989. So, keep reading to learn more.
Given numbers are 869,896,539,388,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,896,539,388,989 is 522870153344.
Find LCM of 869,896,539,388,989 with Prime Factorization
| 2 | 869, 896, 539, 388, 989 |
| 2 | 869, 448, 539, 194, 989 |
| 7 | 869, 224, 539, 97, 989 |
| 11 | 869, 32, 77, 97, 989 |
| 79, 32, 7, 97, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 79 x 32 x 7 x 97 x 989 = 522870153344
Therefore, the lowest common multiple of 869,896,539,388,989 is 522870153344.
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.
869 x 896 x 539 x 388 x 989 = 161044007229952
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.
869 : 1, 11, 79, 869
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
539 : 1, 7, 11, 49, 77, 539
388 : 1, 2, 4, 97, 194, 388
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,896,539,388,989, is 1.
Now, the common factors can be found like this.
869:11x 79
896:2x 2x 2x 2x 2x 2x 2x 7
539:7x 7x 11
388:2x 2x 97
989:23x 43
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 161044007229952/(1x308)
LCM = 161044007229952/308
LCM = 522870153344
Thus, we can understand that the LCM of 869,896,539,388,989 is 522870153344.
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FAQs on LCM of 869, 896, 539, 388, 989
1. What is the LCM of 869, 896, 539, 388, 989?
Answer: LCM of 869, 896, 539, 388, 989 is 522870153344.
2. How to calculate the LCM of 869, 896, 539, 388, 989?
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 869, 896, 539, 388, 989.
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}.