LCM of 583, 814, 831, 690, 477
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 814, 831, 690, 477 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 583, 814, 831, 690, 477. So, keep reading to learn more.
Given numbers are 583,814,831,690,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,814,831,690,477 is 12368595690.
Find LCM of 583,814,831,690,477 with Prime Factorization
| 2 | 583, 814, 831, 690, 477 |
| 3 | 583, 407, 831, 345, 477 |
| 11 | 583, 407, 277, 115, 159 |
| 53 | 53, 37, 277, 115, 159 |
| 1, 37, 277, 115, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 53 x 1 x 37 x 277 x 115 x 3 = 12368595690
Therefore, the lowest common multiple of 583,814,831,690,477 is 12368595690.
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.
583 x 814 x 831 x 690 x 477 = 129796043170860
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.
583 : 1, 11, 53, 583
814 : 1, 2, 11, 22, 37, 74, 407, 814
831 : 1, 3, 277, 831
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,814,831,690,477, is 1.
Now, the common factors can be found like this.
583:11x 53
814:2x 11x 37
831:3x 277
690:2x 3x 5x 23
477:3x 3x 53
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 3x 11x 53 = 10494
Therefore, the value for common factors is 10494.
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 = 129796043170860/(1x10494)
LCM = 129796043170860/10494
LCM = 12368595690
Thus, we can understand that the LCM of 583,814,831,690,477 is 12368595690.
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FAQs on LCM of 583, 814, 831, 690, 477
1. What is the LCM of 583, 814, 831, 690, 477?
Answer: LCM of 583, 814, 831, 690, 477 is 12368595690.
2. How to calculate the LCM of 583, 814, 831, 690, 477?
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 583, 814, 831, 690, 477.
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}.