Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5403/389, 2502/778 quickly i.e. 4506102/389 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5403/389, 2502/778 is 4506102/389.
LCM(5403/389, 2502/778) = 4506102/389
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5403/389,2502/778
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 5403,2502
Least Common Multiple of Numerators i.e. LCM of 5403,2502 is 4506102.
GCF of Denominators means GCF of 389,778 as per the given fractions.
GCF of 389,778 is 389 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5403,2502
3 | 5403, 2502 |
1801, 834 |
∴ So the LCM of the given numbers is 3 x 1801 x 834 = 4506102
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 5403,2502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5403,2502) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(5403,2502) x common factors =3 x 1 = 3
LCM(5403,2502) = ( 5403 × 2502 ) / 3
LCM(5403,2502) = 13518306 / 3
LCM(5403,2502) = 4506102
Lets's calculate GCF of 389,778
389 | 389, 778 |
1, 2 |
∴ So the GCF of the given numbers is 389 = 389
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4506102/389
Therefore the LCM of Fractions 5403/389,2502/778 is 4506102/389
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Greatest Common Factor
We found the factors 389,778 . The biggest common factor number is the GCF number.
So the greatest common factor 389,778 is 389.
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 5403/389, 2502/778?
Answer: LCM of Numerators as per given numbers 5403/389, 2502/778 is
LCM of Numerators i.e. for 5403,2502 is 4506102
GCF of denominators i.e. for 389,778 is 389.
Thus, LCM of Fractions is 4506102/389.Finally, LCM of Fractions for 5403/389, 2502/778 is 4506102/389.