LCM of 558, 992, 946, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 992, 946, 559 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 558, 992, 946, 559. So, keep reading to learn more.
Given numbers are 558,992,946,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,992,946,559 is 54898272.
Find LCM of 558,992,946,559 with Prime Factorization
| 2 | 558, 992, 946, 559 |
| 31 | 279, 496, 473, 559 |
| 43 | 9, 16, 473, 559 |
| 9, 16, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 43 x 9 x 16 x 11 x 13 = 54898272
Therefore, the lowest common multiple of 558,992,946,559 is 54898272.
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.
558 x 992 x 946 x 559 = 292717586304
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
946 : 1, 2, 11, 22, 43, 86, 473, 946
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,992,946,559, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
992:2x 2x 2x 2x 2x 31
946:2x 11x 43
559:13x 43
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 31x 43 = 5332
Therefore, the value for common factors is 5332.
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 = 292717586304/(1x5332)
LCM = 292717586304/5332
LCM = 54898272
Thus, we can understand that the LCM of 558,992,946,559 is 54898272.
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FAQs on LCM of 558, 992, 946, 559
1. What is the LCM of 558, 992, 946, 559?
Answer: LCM of 558, 992, 946, 559 is 54898272.
2. How to calculate the LCM of 558, 992, 946, 559?
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 558, 992, 946, 559.
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}.