LCM of 391, 338, 825, 851, 866
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 338, 825, 851, 866 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 391, 338, 825, 851, 866. So, keep reading to learn more.
Given numbers are 391,338,825,851,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,338,825,851,866 is 1746775237350.
Find LCM of 391,338,825,851,866 with Prime Factorization
| 2 | 391, 338, 825, 851, 866 |
| 23 | 391, 169, 825, 851, 433 |
| 17, 169, 825, 37, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 17 x 169 x 825 x 37 x 433 = 1746775237350
Therefore, the lowest common multiple of 391,338,825,851,866 is 1746775237350.
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.
391 x 338 x 825 x 851 x 866 = 80351660918100
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.
391 : 1, 17, 23, 391
338 : 1, 2, 13, 26, 169, 338
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
851 : 1, 23, 37, 851
866 : 1, 2, 433, 866
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,338,825,851,866, is 1.
Now, the common factors can be found like this.
391:17x 23
338:2x 13x 13
825:3x 5x 5x 11
851:23x 37
866:2x 433
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 80351660918100/(1x46)
LCM = 80351660918100/46
LCM = 1746775237350
Thus, we can understand that the LCM of 391,338,825,851,866 is 1746775237350.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 338, 825, 851, 866
1. What is the LCM of 391, 338, 825, 851, 866?
Answer: LCM of 391, 338, 825, 851, 866 is 1746775237350.
2. How to calculate the LCM of 391, 338, 825, 851, 866?
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 391, 338, 825, 851, 866.
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}.