Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3476/241, 5004/482 quickly i.e. 4348476/241 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3476/241, 5004/482 is 4348476/241.
LCM(3476/241, 5004/482) = 4348476/241
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3476/241,5004/482
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 3476,5004
Least Common Multiple of Numerators i.e. LCM of 3476,5004 is 4348476.
GCF of Denominators means GCF of 241,482 as per the given fractions.
GCF of 241,482 is 241 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3476,5004
2 | 3476, 5004 |
2 | 1738, 2502 |
869, 1251 |
∴ So the LCM of the given numbers is 2 x 2 x 869 x 1251 = 4348476
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 3476,5004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3476,5004) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(3476,5004) x common factors =4 x 1 = 4
LCM(3476,5004) = ( 3476 × 5004 ) / 4
LCM(3476,5004) = 17393904 / 4
LCM(3476,5004) = 4348476
Lets's calculate GCF of 241,482
241 | 241, 482 |
1, 2 |
∴ So the GCF of the given numbers is 241 = 241
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4348476/241
Therefore the LCM of Fractions 3476/241,5004/482 is 4348476/241
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 241,482 . The biggest common factor number is the GCF number.
So the greatest common factor 241,482 is 241.
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 3476/241, 5004/482?
Answer: LCM of Numerators as per given numbers 3476/241, 5004/482 is
LCM of Numerators i.e. for 3476,5004 is 4348476
GCF of denominators i.e. for 241,482 is 241.
Thus, LCM of Fractions is 4348476/241.Finally, LCM of Fractions for 3476/241, 5004/482 is 4348476/241.