LCM of 491, 515, 591, 867, 197
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 515, 591, 867, 197 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 491, 515, 591, 867, 197. So, keep reading to learn more.
Given numbers are 491,515,591,867,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,515,591,867,197 is 43189089135.
Find LCM of 491,515,591,867,197 with Prime Factorization
| 3 | 491, 515, 591, 867, 197 |
| 197 | 491, 515, 197, 289, 197 |
| 491, 515, 1, 289, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 197 x 491 x 515 x 1 x 289 x 1 = 43189089135
Therefore, the lowest common multiple of 491,515,591,867,197 is 43189089135.
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.
491 x 515 x 591 x 867 x 197 = 25524751678785
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.
491 : 1, 491
515 : 1, 5, 103, 515
591 : 1, 3, 197, 591
867 : 1, 3, 17, 51, 289, 867
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,515,591,867,197, is 1.
Now, the common factors can be found like this.
491:491
515:5x 103
591:3x 197
867:3x 17x 17
197:197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 197 = 591
Therefore, the value for common factors is 591.
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 = 25524751678785/(1x591)
LCM = 25524751678785/591
LCM = 43189089135
Thus, we can understand that the LCM of 491,515,591,867,197 is 43189089135.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 491, 515, 591, 867, 197
1. What is the LCM of 491, 515, 591, 867, 197?
Answer: LCM of 491, 515, 591, 867, 197 is 43189089135.
2. How to calculate the LCM of 491, 515, 591, 867, 197?
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 491, 515, 591, 867, 197.
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}.