LCM of 793, 561, 715, 942, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 561, 715, 942, 116 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 793, 561, 715, 942, 116. So, keep reading to learn more.
Given numbers are 793,561,715,942,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,561,715,942,116 is 40510135380.
Find LCM of 793,561,715,942,116 with Prime Factorization
| 2 | 793, 561, 715, 942, 116 |
| 3 | 793, 561, 715, 471, 58 |
| 11 | 793, 187, 715, 157, 58 |
| 13 | 793, 17, 65, 157, 58 |
| 61, 17, 5, 157, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 61 x 17 x 5 x 157 x 58 = 40510135380
Therefore, the lowest common multiple of 793,561,715,942,116 is 40510135380.
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.
793 x 561 x 715 x 942 x 116 = 34757696156040
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.
793 : 1, 13, 61, 793
561 : 1, 3, 11, 17, 33, 51, 187, 561
715 : 1, 5, 11, 13, 55, 65, 143, 715
942 : 1, 2, 3, 6, 157, 314, 471, 942
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,561,715,942,116, is 1.
Now, the common factors can be found like this.
793:13x 61
561:3x 11x 17
715:5x 11x 13
942:2x 3x 157
116:2x 2x 29
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 11x 13 = 858
Therefore, the value for common factors is 858.
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 = 34757696156040/(1x858)
LCM = 34757696156040/858
LCM = 40510135380
Thus, we can understand that the LCM of 793,561,715,942,116 is 40510135380.
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FAQs on LCM of 793, 561, 715, 942, 116
1. What is the LCM of 793, 561, 715, 942, 116?
Answer: LCM of 793, 561, 715, 942, 116 is 40510135380.
2. How to calculate the LCM of 793, 561, 715, 942, 116?
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 793, 561, 715, 942, 116.
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}.