LCM of 554, 667, 638, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 554, 667, 638, 831 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 554, 667, 638, 831. So, keep reading to learn more.
Given numbers are 554,667,638,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,667,638,831 is 12194094.
Find LCM of 554,667,638,831 with Prime Factorization
| 2 | 554, 667, 638, 831 |
| 29 | 277, 667, 319, 831 |
| 277 | 277, 23, 11, 831 |
| 1, 23, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 277 x 1 x 23 x 11 x 3 = 12194094
Therefore, the lowest common multiple of 554,667,638,831 is 12194094.
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.
554 x 667 x 638 x 831 = 195910314204
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.
554 : 1, 2, 277, 554
667 : 1, 23, 29, 667
638 : 1, 2, 11, 22, 29, 58, 319, 638
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,667,638,831, is 1.
Now, the common factors can be found like this.
554:2x 277
667:23x 29
638:2x 11x 29
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29x 277 = 16066
Therefore, the value for common factors is 16066.
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 = 195910314204/(1x16066)
LCM = 195910314204/16066
LCM = 12194094
Thus, we can understand that the LCM of 554,667,638,831 is 12194094.
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FAQs on LCM of 554, 667, 638, 831
1. What is the LCM of 554, 667, 638, 831?
Answer: LCM of 554, 667, 638, 831 is 12194094.
2. How to calculate the LCM of 554, 667, 638, 831?
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 554, 667, 638, 831.
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}.