LCM of 561, 831, 622, 420, 251
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 831, 622, 420, 251 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 561, 831, 622, 420, 251. So, keep reading to learn more.
Given numbers are 561,831,622,420,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,831,622,420,251 is 1698262330380.
Find LCM of 561,831,622,420,251 with Prime Factorization
| 2 | 561, 831, 622, 420, 251 |
| 3 | 561, 831, 311, 210, 251 |
| 187, 277, 311, 70, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 187 x 277 x 311 x 70 x 251 = 1698262330380
Therefore, the lowest common multiple of 561,831,622,420,251 is 1698262330380.
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.
561 x 831 x 622 x 420 x 251 = 30568721946840
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
831 : 1, 3, 277, 831
622 : 1, 2, 311, 622
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,831,622,420,251, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
831:3x 277
622:2x 311
420:2x 2x 3x 5x 7
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 30568721946840/(1x18)
LCM = 30568721946840/18
LCM = 1698262330380
Thus, we can understand that the LCM of 561,831,622,420,251 is 1698262330380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 831, 622, 420, 251
1. What is the LCM of 561, 831, 622, 420, 251?
Answer: LCM of 561, 831, 622, 420, 251 is 1698262330380.
2. How to calculate the LCM of 561, 831, 622, 420, 251?
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 561, 831, 622, 420, 251.
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}.