Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2467/502, 3034/7014 quickly i.e. 3742439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2467/502, 3034/7014 is 3742439.
LCM(2467/502, 3034/7014) = 3742439
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2467/502,3034/7014
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 2467,3034
Least Common Multiple of Numerators i.e. LCM of 2467,3034 is 7484878.
GCF of Denominators means GCF of 502,7014 as per the given fractions.
GCF of 502,7014 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2467,3034
Given numbers has no common factors except 1. So, there LCM is their product i.e 7484878
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 2467,3034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2467,3034) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2467,3034) x common factors =1 x 1 = 1
LCM(2467,3034) = ( 2467 × 3034 ) / 1
LCM(2467,3034) = 7484878 / 1
LCM(2467,3034) = 7484878
Lets's calculate GCF of 502,7014
2 | 502, 7014 |
251, 3507 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7484878/2
Therefore the LCM of Fractions 2467/502,3034/7014 is 3742439
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 7014
List of positive integer factors of 7014 that divides 7014 without a remainder.
1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014
Greatest Common Factor
We found the factors 502,7014 . The biggest common factor number is the GCF number.
So the greatest common factor 502,7014 is 2.
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 2467/502, 3034/7014?
Answer: LCM of Numerators as per given numbers 2467/502, 3034/7014 is
LCM of Numerators i.e. for 2467,3034 is 7484878
GCF of denominators i.e. for 502,7014 is 2.
Thus, LCM of Fractions is 3742439.Finally, LCM of Fractions for 2467/502, 3034/7014 is 3742439.