LCM of 797, 595, 119, 401, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 595, 119, 401, 371 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 797, 595, 119, 401, 371. So, keep reading to learn more.
Given numbers are 797,595,119,401,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,595,119,401,371 is 10078491395.
Find LCM of 797,595,119,401,371 with Prime Factorization
| 7 | 797, 595, 119, 401, 371 |
| 17 | 797, 85, 17, 401, 53 |
| 797, 5, 1, 401, 53 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 797 x 5 x 1 x 401 x 53 = 10078491395
Therefore, the lowest common multiple of 797,595,119,401,371 is 10078491395.
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.
797 x 595 x 119 x 401 x 371 = 8395383332035
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.
797 : 1, 797
595 : 1, 5, 7, 17, 35, 85, 119, 595
119 : 1, 7, 17, 119
401 : 1, 401
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,595,119,401,371, is 1.
Now, the common factors can be found like this.
797:797
595:5x 7x 17
119:7x 17
401:401
371:7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 17 = 833
Therefore, the value for common factors is 833.
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 = 8395383332035/(1x833)
LCM = 8395383332035/833
LCM = 10078491395
Thus, we can understand that the LCM of 797,595,119,401,371 is 10078491395.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 797, 595, 119, 401, 371
1. What is the LCM of 797, 595, 119, 401, 371?
Answer: LCM of 797, 595, 119, 401, 371 is 10078491395.
2. How to calculate the LCM of 797, 595, 119, 401, 371?
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 797, 595, 119, 401, 371.
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}.