LCM of 831, 454, 656, 512, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 831, 454, 656, 512, 189 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, 454, 656, 512, 189. So, keep reading to learn more.
Given numbers are 831,454,656,512,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,454,656,512,189 is 249471677952.
Find LCM of 831,454,656,512,189 with Prime Factorization
| 2 | 831, 454, 656, 512, 189 |
| 2 | 831, 227, 328, 256, 189 |
| 2 | 831, 227, 164, 128, 189 |
| 2 | 831, 227, 82, 64, 189 |
| 3 | 831, 227, 41, 32, 189 |
| 277, 227, 41, 32, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 277 x 227 x 41 x 32 x 63 = 249471677952
Therefore, the lowest common multiple of 831,454,656,512,189 is 249471677952.
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 454 x 656 x 512 x 189 = 23949281083392
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
454 : 1, 2, 227, 454
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,454,656,512,189, is 1.
Now, the common factors can be found like this.
831:3x 277
454:2x 227
656:2x 2x 2x 2x 41
512:2x 2x 2x 2x 2x 2x 2x 2x 2
189:3x 3x 3x 7
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 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 23949281083392/(1x96)
LCM = 23949281083392/96
LCM = 249471677952
Thus, we can understand that the LCM of 831,454,656,512,189 is 249471677952.
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FAQs on LCM of 831, 454, 656, 512, 189
1. What is the LCM of 831, 454, 656, 512, 189?
Answer: LCM of 831, 454, 656, 512, 189 is 249471677952.
2. How to calculate the LCM of 831, 454, 656, 512, 189?
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, 454, 656, 512, 189.
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}.