Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 602/831, 6118/2970 quickly i.e. 263074/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 602/831, 6118/2970 is 263074/3.
LCM(602/831, 6118/2970) = 263074/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 602/831,6118/2970
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 602,6118
Least Common Multiple of Numerators i.e. LCM of 602,6118 is 263074.
GCF of Denominators means GCF of 831,2970 as per the given fractions.
GCF of 831,2970 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 602,6118
2 | 602, 6118 |
7 | 301, 3059 |
43, 437 |
∴ So the LCM of the given numbers is 2 x 7 x 43 x 437 = 263074
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 602,6118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,6118) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(602,6118) x common factors =14 x 1 = 14
LCM(602,6118) = ( 602 × 6118 ) / 14
LCM(602,6118) = 3683036 / 14
LCM(602,6118) = 263074
Lets's calculate GCF of 831,2970
3 | 831, 2970 |
277, 990 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263074/3
Therefore the LCM of Fractions 602/831,6118/2970 is 263074/3
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 2970
List of positive integer factors of 2970 that divides 2970 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Greatest Common Factor
We found the factors 831,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 831,2970 is 3.
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 602/831, 6118/2970?
Answer: LCM of Numerators as per given numbers 602/831, 6118/2970 is
LCM of Numerators i.e. for 602,6118 is 263074
GCF of denominators i.e. for 831,2970 is 3.
Thus, LCM of Fractions is 263074/3.Finally, LCM of Fractions for 602/831, 6118/2970 is 263074/3.