Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/34, 50/76, 85/831 quickly i.e. 850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/34, 50/76, 85/831 is 850.
LCM(25/34, 50/76, 85/831) = 850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/34,50/76,85/831
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 25,50,85
Least Common Multiple of Numerators i.e. LCM of 25,50,85 is 850.
GCF of Denominators means GCF of 34,76,831 as per the given fractions.
GCF of 34,76,831 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,50,85
5 | 25, 50, 85 |
5 | 5, 10, 17 |
1, 2, 17 |
∴ So the LCM of the given numbers is 5 x 5 x 1 x 2 x 17 = 850
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 25,50,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,50,85) = 5
common factors(in case of two or more numbers have common factors) = 25
GCF(25,50,85) x common factors =5 x 25 = 125
LCM(25,50,85) = ( 25 × 50 × 85 ) / 125
LCM(25,50,85) = 106250 / 125
LCM(25,50,85) = 850
Lets's calculate GCF of 34,76,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 850/1
Therefore the LCM of Fractions 25/34,50/76,85/831 is 850
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 34,76,831 . The biggest common factor number is the GCF number.
So the greatest common factor 34,76,831 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 25/34, 50/76, 85/831?
Answer: LCM of Numerators as per given numbers 25/34, 50/76, 85/831 is
LCM of Numerators i.e. for 25,50,85 is 850
GCF of denominators i.e. for 34,76,831 is 1.
Thus, LCM of Fractions is 850.Finally, LCM of Fractions for 25/34, 50/76, 85/831 is 850.