Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2965/902, 2491/4059 quickly i.e. 7385815/451 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2965/902, 2491/4059 is 7385815/451.
LCM(2965/902, 2491/4059) = 7385815/451
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2965/902,2491/4059
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 2965,2491
Least Common Multiple of Numerators i.e. LCM of 2965,2491 is 7385815.
GCF of Denominators means GCF of 902,4059 as per the given fractions.
GCF of 902,4059 is 451 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2965,2491
Given numbers has no common factors except 1. So, there LCM is their product i.e 7385815
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 2965,2491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2965,2491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2965,2491) x common factors =1 x 1 = 1
LCM(2965,2491) = ( 2965 × 2491 ) / 1
LCM(2965,2491) = 7385815 / 1
LCM(2965,2491) = 7385815
Lets's calculate GCF of 902,4059
11 | 902, 4059 |
41 | 82, 369 |
2, 9 |
∴ So the GCF of the given numbers is 11 x 41 = 451
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7385815/451
Therefore the LCM of Fractions 2965/902,2491/4059 is 7385815/451
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 4059
List of positive integer factors of 4059 that divides 4059 without a remainder.
1,3,9,11,33,41,99,123,369,451,1353,4059
Greatest Common Factor
We found the factors 902,4059 . The biggest common factor number is the GCF number.
So the greatest common factor 902,4059 is 451.
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 2965/902, 2491/4059?
Answer: LCM of Numerators as per given numbers 2965/902, 2491/4059 is
LCM of Numerators i.e. for 2965,2491 is 7385815
GCF of denominators i.e. for 902,4059 is 451.
Thus, LCM of Fractions is 7385815/451.Finally, LCM of Fractions for 2965/902, 2491/4059 is 7385815/451.