LCM of 762, 158, 891, 889, 794
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 158, 891, 889, 794 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 762, 158, 891, 889, 794. So, keep reading to learn more.
Given numbers are 762,158,891,889,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,158,891,889,794 is 49685201874.
Find LCM of 762,158,891,889,794 with Prime Factorization
| 2 | 762, 158, 891, 889, 794 |
| 3 | 381, 79, 891, 889, 397 |
| 127 | 127, 79, 297, 889, 397 |
| 1, 79, 297, 7, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 1 x 79 x 297 x 7 x 397 = 49685201874
Therefore, the lowest common multiple of 762,158,891,889,794 is 49685201874.
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.
762 x 158 x 891 x 889 x 794 = 75720247655976
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
158 : 1, 2, 79, 158
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
889 : 1, 7, 127, 889
794 : 1, 2, 397, 794
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,158,891,889,794, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
158:2x 79
891:3x 3x 3x 3x 11
889:7x 127
794:2x 397
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 3x 127 = 1524
Therefore, the value for common factors is 1524.
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 = 75720247655976/(1x1524)
LCM = 75720247655976/1524
LCM = 49685201874
Thus, we can understand that the LCM of 762,158,891,889,794 is 49685201874.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 158, 891, 889, 794
1. What is the LCM of 762, 158, 891, 889, 794?
Answer: LCM of 762, 158, 891, 889, 794 is 49685201874.
2. How to calculate the LCM of 762, 158, 891, 889, 794?
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 762, 158, 891, 889, 794.
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}.