LCM of 727, 145, 546, 580, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 145, 546, 580, 903 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 727, 145, 546, 580, 903. So, keep reading to learn more.
Given numbers are 727,145,546,580,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,145,546,580,903 is 4949866740.
Find LCM of 727,145,546,580,903 with Prime Factorization
| 2 | 727, 145, 546, 580, 903 |
| 3 | 727, 145, 273, 290, 903 |
| 5 | 727, 145, 91, 290, 301 |
| 7 | 727, 29, 91, 58, 301 |
| 29 | 727, 29, 13, 58, 43 |
| 727, 1, 13, 2, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 29 x 727 x 1 x 13 x 2 x 43 = 4949866740
Therefore, the lowest common multiple of 727,145,546,580,903 is 4949866740.
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.
727 x 145 x 546 x 580 x 903 = 30144688446600
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.
727 : 1, 727
145 : 1, 5, 29, 145
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,145,546,580,903, is 1.
Now, the common factors can be found like this.
727:727
145:5x 29
546:2x 3x 7x 13
580:2x 2x 5x 29
903:3x 7x 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 3x 5x 7x 29 = 6090
Therefore, the value for common factors is 6090.
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 = 30144688446600/(1x6090)
LCM = 30144688446600/6090
LCM = 4949866740
Thus, we can understand that the LCM of 727,145,546,580,903 is 4949866740.
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FAQs on LCM of 727, 145, 546, 580, 903
1. What is the LCM of 727, 145, 546, 580, 903?
Answer: LCM of 727, 145, 546, 580, 903 is 4949866740.
2. How to calculate the LCM of 727, 145, 546, 580, 903?
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 727, 145, 546, 580, 903.
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}.