LCM of 543, 349, 381, 635, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 349, 381, 635, 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 543, 349, 381, 635, 939. So, keep reading to learn more.
Given numbers are 543,349,381,635,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,349,381,635,939 is 37665463785.
Find LCM of 543,349,381,635,939 with Prime Factorization
| 3 | 543, 349, 381, 635, 939 |
| 127 | 181, 349, 127, 635, 313 |
| 181, 349, 1, 5, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 127 x 181 x 349 x 1 x 5 x 313 = 37665463785
Therefore, the lowest common multiple of 543,349,381,635,939 is 37665463785.
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.
543 x 349 x 381 x 635 x 939 = 43051625106255
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.
543 : 1, 3, 181, 543
349 : 1, 349
381 : 1, 3, 127, 381
635 : 1, 5, 127, 635
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,349,381,635,939, is 1.
Now, the common factors can be found like this.
543:3x 181
349:349
381:3x 127
635:5x 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 127 = 1143
Therefore, the value for common factors is 1143.
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 = 43051625106255/(1x1143)
LCM = 43051625106255/1143
LCM = 37665463785
Thus, we can understand that the LCM of 543,349,381,635,939 is 37665463785.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 543, 349, 381, 635, 939
1. What is the LCM of 543, 349, 381, 635, 939?
Answer: LCM of 543, 349, 381, 635, 939 is 37665463785.
2. How to calculate the LCM of 543, 349, 381, 635, 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 543, 349, 381, 635, 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}.