LCM of 561, 583, 831, 129, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 583, 831, 129, 387 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, 583, 831, 129, 387. So, keep reading to learn more.
Given numbers are 561,583,831,129,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,583,831,129,387 is 1062449289.
Find LCM of 561,583,831,129,387 with Prime Factorization
| 3 | 561, 583, 831, 129, 387 |
| 11 | 187, 583, 277, 43, 129 |
| 43 | 17, 53, 277, 43, 129 |
| 17, 53, 277, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 43 x 17 x 53 x 277 x 1 x 3 = 1062449289
Therefore, the lowest common multiple of 561,583,831,129,387 is 1062449289.
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 583 x 831 x 129 x 387 = 13568539869819
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
583 : 1, 11, 53, 583
831 : 1, 3, 277, 831
129 : 1, 3, 43, 129
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,583,831,129,387, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
583:11x 53
831:3x 277
129:3x 43
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11x 43 = 12771
Therefore, the value for common factors is 12771.
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 = 13568539869819/(1x12771)
LCM = 13568539869819/12771
LCM = 1062449289
Thus, we can understand that the LCM of 561,583,831,129,387 is 1062449289.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 583, 831, 129, 387
1. What is the LCM of 561, 583, 831, 129, 387?
Answer: LCM of 561, 583, 831, 129, 387 is 1062449289.
2. How to calculate the LCM of 561, 583, 831, 129, 387?
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, 583, 831, 129, 387.
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}.