LCM of 611, 633, 455, 658, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 633, 455, 658, 531 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 611, 633, 455, 658, 531. So, keep reading to learn more.
Given numbers are 611,633,455,658,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,633,455,658,531 is 4791993570.
Find LCM of 611,633,455,658,531 with Prime Factorization
| 3 | 611, 633, 455, 658, 531 |
| 7 | 611, 211, 455, 658, 177 |
| 13 | 611, 211, 65, 94, 177 |
| 47 | 47, 211, 5, 94, 177 |
| 1, 211, 5, 2, 177 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 47 x 1 x 211 x 5 x 2 x 177 = 4791993570
Therefore, the lowest common multiple of 611,633,455,658,531 is 4791993570.
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.
611 x 633 x 455 x 658 x 531 = 61486069496670
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.
611 : 1, 13, 47, 611
633 : 1, 3, 211, 633
455 : 1, 5, 7, 13, 35, 65, 91, 455
658 : 1, 2, 7, 14, 47, 94, 329, 658
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,633,455,658,531, is 1.
Now, the common factors can be found like this.
611:13x 47
633:3x 211
455:5x 7x 13
658:2x 7x 47
531:3x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 13x 47 = 12831
Therefore, the value for common factors is 12831.
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 = 61486069496670/(1x12831)
LCM = 61486069496670/12831
LCM = 4791993570
Thus, we can understand that the LCM of 611,633,455,658,531 is 4791993570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 611, 633, 455, 658, 531
1. What is the LCM of 611, 633, 455, 658, 531?
Answer: LCM of 611, 633, 455, 658, 531 is 4791993570.
2. How to calculate the LCM of 611, 633, 455, 658, 531?
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 611, 633, 455, 658, 531.
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}.