LCM of 555, 217, 589, 381, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 555, 217, 589, 381, 939 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 555, 217, 589, 381, 939. So, keep reading to learn more.
Given numbers are 555,217,589,381,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,217,589,381,939 is 90960822015.
Find LCM of 555,217,589,381,939 with Prime Factorization
| 3 | 555, 217, 589, 381, 939 |
| 31 | 185, 217, 589, 127, 313 |
| 185, 7, 19, 127, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 185 x 7 x 19 x 127 x 313 = 90960822015
Therefore, the lowest common multiple of 555,217,589,381,939 is 90960822015.
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.
555 x 217 x 589 x 381 x 939 = 25378069342185
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
217 : 1, 7, 31, 217
589 : 1, 19, 31, 589
381 : 1, 3, 127, 381
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,217,589,381,939, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
217:7x 31
589:19x 31
381:3x 127
939:3x 313
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 31 = 279
Therefore, the value for common factors is 279.
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 = 25378069342185/(1x279)
LCM = 25378069342185/279
LCM = 90960822015
Thus, we can understand that the LCM of 555,217,589,381,939 is 90960822015.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 555, 217, 589, 381, 939
1. What is the LCM of 555, 217, 589, 381, 939?
Answer: LCM of 555, 217, 589, 381, 939 is 90960822015.
2. How to calculate the LCM of 555, 217, 589, 381, 939?
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 555, 217, 589, 381, 939.
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}.