LCM of 806, 834, 894, 604, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 834, 894, 604, 961 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 806, 834, 894, 604, 961. So, keep reading to learn more.
Given numbers are 806,834,894,604,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,834,894,604,961 is 468841451676.
Find LCM of 806,834,894,604,961 with Prime Factorization
| 2 | 806, 834, 894, 604, 961 |
| 3 | 403, 417, 447, 302, 961 |
| 31 | 403, 139, 149, 302, 961 |
| 13, 139, 149, 302, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 13 x 139 x 149 x 302 x 31 = 468841451676
Therefore, the lowest common multiple of 806,834,894,604,961 is 468841451676.
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.
806 x 834 x 894 x 604 x 961 = 348818040046944
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
834 : 1, 2, 3, 6, 139, 278, 417, 834
894 : 1, 2, 3, 6, 149, 298, 447, 894
604 : 1, 2, 4, 151, 302, 604
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,834,894,604,961, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
834:2x 3x 139
894:2x 3x 149
604:2x 2x 151
961:31x 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 3x 31 = 744
Therefore, the value for common factors is 744.
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 = 348818040046944/(1x744)
LCM = 348818040046944/744
LCM = 468841451676
Thus, we can understand that the LCM of 806,834,894,604,961 is 468841451676.
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FAQs on LCM of 806, 834, 894, 604, 961
1. What is the LCM of 806, 834, 894, 604, 961?
Answer: LCM of 806, 834, 894, 604, 961 is 468841451676.
2. How to calculate the LCM of 806, 834, 894, 604, 961?
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 806, 834, 894, 604, 961.
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}.