LCM of 797, 321, 366, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 321, 366, 671 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, 321, 366, 671. So, keep reading to learn more.
Given numbers are 797,321,366,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,321,366,671 is 343333254.
Find LCM of 797,321,366,671 with Prime Factorization
| 3 | 797, 321, 366, 671 |
| 61 | 797, 107, 122, 671 |
| 797, 107, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 61 x 797 x 107 x 2 x 11 = 343333254
Therefore, the lowest common multiple of 797,321,366,671 is 343333254.
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 321 x 366 x 671 = 62829985482
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
321 : 1, 3, 107, 321
366 : 1, 2, 3, 6, 61, 122, 183, 366
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,321,366,671, is 1.
Now, the common factors can be found like this.
797:797
321:3x 107
366:2x 3x 61
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 61 = 183
Therefore, the value for common factors is 183.
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 = 62829985482/(1x183)
LCM = 62829985482/183
LCM = 343333254
Thus, we can understand that the LCM of 797,321,366,671 is 343333254.
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FAQs on LCM of 797, 321, 366, 671
1. What is the LCM of 797, 321, 366, 671?
Answer: LCM of 797, 321, 366, 671 is 343333254.
2. How to calculate the LCM of 797, 321, 366, 671?
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, 321, 366, 671.
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}.