LCM of 967, 891, 834, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 891, 834, 797 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 967, 891, 834, 797. So, keep reading to learn more.
Given numbers are 967,891,834,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,891,834,797 is 190900600902.
Find LCM of 967,891,834,797 with Prime Factorization
| 3 | 967, 891, 834, 797 |
| 967, 297, 278, 797 |
Multiply the prime numbers at the bottom and the left side.
3 x 967 x 297 x 278 x 797 = 190900600902
Therefore, the lowest common multiple of 967,891,834,797 is 190900600902.
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.
967 x 891 x 834 x 797 = 572701802706
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.
967 : 1, 967
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
834 : 1, 2, 3, 6, 139, 278, 417, 834
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,891,834,797, is 1.
Now, the common factors can be found like this.
967:967
891:3x 3x 3x 3x 11
834:2x 3x 139
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 572701802706/(1x3)
LCM = 572701802706/3
LCM = 190900600902
Thus, we can understand that the LCM of 967,891,834,797 is 190900600902.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 967, 891, 834, 797
1. What is the LCM of 967, 891, 834, 797?
Answer: LCM of 967, 891, 834, 797 is 190900600902.
2. How to calculate the LCM of 967, 891, 834, 797?
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 967, 891, 834, 797.
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}.