LCM of 797, 858, 968, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 858, 968, 363 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, 858, 968, 363. So, keep reading to learn more.
Given numbers are 797,858,968,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,858,968,363 is 30088344.
Find LCM of 797,858,968,363 with Prime Factorization
| 2 | 797, 858, 968, 363 |
| 3 | 797, 429, 484, 363 |
| 11 | 797, 143, 484, 121 |
| 11 | 797, 13, 44, 11 |
| 797, 13, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 797 x 13 x 4 x 1 = 30088344
Therefore, the lowest common multiple of 797,858,968,363 is 30088344.
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 858 x 968 x 363 = 240285515184
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
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,858,968,363, is 1.
Now, the common factors can be found like this.
797:797
858:2x 3x 11x 13
968:2x 2x 2x 11x 11
363:3x 11x 11
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 11x 11 = 7986
Therefore, the value for common factors is 7986.
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 = 240285515184/(1x7986)
LCM = 240285515184/7986
LCM = 30088344
Thus, we can understand that the LCM of 797,858,968,363 is 30088344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 797, 858, 968, 363
1. What is the LCM of 797, 858, 968, 363?
Answer: LCM of 797, 858, 968, 363 is 30088344.
2. How to calculate the LCM of 797, 858, 968, 363?
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, 858, 968, 363.
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}.