LCM of 612, 794, 791, 546, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 794, 791, 546, 914 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 612, 794, 791, 546, 914. So, keep reading to learn more.
Given numbers are 612,794,791,546,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,794,791,546,914 is 1141768257084.
Find LCM of 612,794,791,546,914 with Prime Factorization
| 2 | 612, 794, 791, 546, 914 |
| 3 | 306, 397, 791, 273, 457 |
| 7 | 102, 397, 791, 91, 457 |
| 102, 397, 113, 13, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 102 x 397 x 113 x 13 x 457 = 1141768257084
Therefore, the lowest common multiple of 612,794,791,546,914 is 1141768257084.
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.
612 x 794 x 791 x 546 x 914 = 191817067190112
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
794 : 1, 2, 397, 794
791 : 1, 7, 113, 791
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,794,791,546,914, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
794:2x 397
791:7x 113
546:2x 3x 7x 13
914:2x 457
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 191817067190112/(1x168)
LCM = 191817067190112/168
LCM = 1141768257084
Thus, we can understand that the LCM of 612,794,791,546,914 is 1141768257084.
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FAQs on LCM of 612, 794, 791, 546, 914
1. What is the LCM of 612, 794, 791, 546, 914?
Answer: LCM of 612, 794, 791, 546, 914 is 1141768257084.
2. How to calculate the LCM of 612, 794, 791, 546, 914?
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 612, 794, 791, 546, 914.
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}.