LCM of 197, 568, 891, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 568, 891, 999 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 197, 568, 891, 999. So, keep reading to learn more.
Given numbers are 197,568,891,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,568,891,999 is 3688875432.
Find LCM of 197,568,891,999 with Prime Factorization
| 3 | 197, 568, 891, 999 |
| 3 | 197, 568, 297, 333 |
| 3 | 197, 568, 99, 111 |
| 197, 568, 33, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 197 x 568 x 33 x 37 = 3688875432
Therefore, the lowest common multiple of 197,568,891,999 is 3688875432.
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.
197 x 568 x 891 x 999 = 99599636664
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.
197 : 1, 197
568 : 1, 2, 4, 8, 71, 142, 284, 568
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,568,891,999, is 1.
Now, the common factors can be found like this.
197:197
568:2x 2x 2x 71
891:3x 3x 3x 3x 11
999:3x 3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 99599636664/(1x27)
LCM = 99599636664/27
LCM = 3688875432
Thus, we can understand that the LCM of 197,568,891,999 is 3688875432.
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FAQs on LCM of 197, 568, 891, 999
1. What is the LCM of 197, 568, 891, 999?
Answer: LCM of 197, 568, 891, 999 is 3688875432.
2. How to calculate the LCM of 197, 568, 891, 999?
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 197, 568, 891, 999.
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}.