Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/782, 805/489, 841/613 quickly i.e. 3385025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/782, 805/489, 841/613 is 3385025.
LCM(25/782, 805/489, 841/613) = 3385025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/782,805/489,841/613
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 25,805,841
Least Common Multiple of Numerators i.e. LCM of 25,805,841 is 3385025.
GCF of Denominators means GCF of 782,489,613 as per the given fractions.
GCF of 782,489,613 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,805,841
5 | 25, 805, 841 |
5, 161, 841 |
∴ So the LCM of the given numbers is 5 x 5 x 161 x 841 = 3385025
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 25,805,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,805,841) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(25,805,841) x common factors =1 x 5 = 5
LCM(25,805,841) = ( 25 × 805 × 841 ) / 5
LCM(25,805,841) = 16925125 / 5
LCM(25,805,841) = 3385025
Lets's calculate GCF of 782,489,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3385025/1
Therefore the LCM of Fractions 25/782,805/489,841/613 is 3385025
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Greatest Common Factor
We found the factors 782,489,613 . The biggest common factor number is the GCF number.
So the greatest common factor 782,489,613 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 25/782, 805/489, 841/613?
Answer: LCM of Numerators as per given numbers 25/782, 805/489, 841/613 is
LCM of Numerators i.e. for 25,805,841 is 3385025
GCF of denominators i.e. for 782,489,613 is 1.
Thus, LCM of Fractions is 3385025.Finally, LCM of Fractions for 25/782, 805/489, 841/613 is 3385025.