LCM of 793, 286, 658, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 286, 658, 727 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, 286, 658, 727. So, keep reading to learn more.
Given numbers are 793,286,658,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,286,658,727 is 4172786618.
Find LCM of 793,286,658,727 with Prime Factorization
| 2 | 793, 286, 658, 727 |
| 13 | 793, 143, 329, 727 |
| 61, 11, 329, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 61 x 11 x 329 x 727 = 4172786618
Therefore, the lowest common multiple of 793,286,658,727 is 4172786618.
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 286 x 658 x 727 = 108492452068
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
658 : 1, 2, 7, 14, 47, 94, 329, 658
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,286,658,727, is 1.
Now, the common factors can be found like this.
793:13x 61
286:2x 11x 13
658:2x 7x 47
727:727
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 108492452068/(1x26)
LCM = 108492452068/26
LCM = 4172786618
Thus, we can understand that the LCM of 793,286,658,727 is 4172786618.
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FAQs on LCM of 793, 286, 658, 727
1. What is the LCM of 793, 286, 658, 727?
Answer: LCM of 793, 286, 658, 727 is 4172786618.
2. How to calculate the LCM of 793, 286, 658, 727?
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, 286, 658, 727.
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}.