LCM of 231, 381, 917, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 381, 917, 716 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 231, 381, 917, 716. So, keep reading to learn more.
Given numbers are 231,381,917,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,381,917,716 is 2751693252.
Find LCM of 231,381,917,716 with Prime Factorization
| 3 | 231, 381, 917, 716 |
| 7 | 77, 127, 917, 716 |
| 11, 127, 131, 716 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 127 x 131 x 716 = 2751693252
Therefore, the lowest common multiple of 231,381,917,716 is 2751693252.
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.
231 x 381 x 917 x 716 = 57785558292
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
381 : 1, 3, 127, 381
917 : 1, 7, 131, 917
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,381,917,716, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
381:3x 127
917:7x 131
716:2x 2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 57785558292/(1x21)
LCM = 57785558292/21
LCM = 2751693252
Thus, we can understand that the LCM of 231,381,917,716 is 2751693252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 231, 381, 917, 716
1. What is the LCM of 231, 381, 917, 716?
Answer: LCM of 231, 381, 917, 716 is 2751693252.
2. How to calculate the LCM of 231, 381, 917, 716?
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 231, 381, 917, 716.
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}.