LCM of 831, 690, 979, 209, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 831, 690, 979, 209, 965 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 831, 690, 979, 209, 965. So, keep reading to learn more.
Given numbers are 831,690,979,209,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,690,979,209,965 is 686155362090.
Find LCM of 831,690,979,209,965 with Prime Factorization
| 3 | 831, 690, 979, 209, 965 |
| 5 | 277, 230, 979, 209, 965 |
| 11 | 277, 46, 979, 209, 193 |
| 277, 46, 89, 19, 193 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 277 x 46 x 89 x 19 x 193 = 686155362090
Therefore, the lowest common multiple of 831,690,979,209,965 is 686155362090.
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.
831 x 690 x 979 x 209 x 965 = 113215634744850
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.
831 : 1, 3, 277, 831
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
979 : 1, 11, 89, 979
209 : 1, 11, 19, 209
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,690,979,209,965, is 1.
Now, the common factors can be found like this.
831:3x 277
690:2x 3x 5x 23
979:11x 89
209:11x 19
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 113215634744850/(1x165)
LCM = 113215634744850/165
LCM = 686155362090
Thus, we can understand that the LCM of 831,690,979,209,965 is 686155362090.
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FAQs on LCM of 831, 690, 979, 209, 965
1. What is the LCM of 831, 690, 979, 209, 965?
Answer: LCM of 831, 690, 979, 209, 965 is 686155362090.
2. How to calculate the LCM of 831, 690, 979, 209, 965?
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 831, 690, 979, 209, 965.
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}.