Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5376/424, 2935/902 quickly i.e. 7889280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5376/424, 2935/902 is 7889280.
LCM(5376/424, 2935/902) = 7889280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5376/424,2935/902
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 5376,2935
Least Common Multiple of Numerators i.e. LCM of 5376,2935 is 15778560.
GCF of Denominators means GCF of 424,902 as per the given fractions.
GCF of 424,902 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5376,2935
Given numbers has no common factors except 1. So, there LCM is their product i.e 15778560
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 5376,2935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5376,2935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5376,2935) x common factors =1 x 1 = 1
LCM(5376,2935) = ( 5376 × 2935 ) / 1
LCM(5376,2935) = 15778560 / 1
LCM(5376,2935) = 15778560
Lets's calculate GCF of 424,902
2 | 424, 902 |
212, 451 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15778560/2
Therefore the LCM of Fractions 5376/424,2935/902 is 7889280
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 424,902 . The biggest common factor number is the GCF number.
So the greatest common factor 424,902 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 5376/424, 2935/902?
Answer: LCM of Numerators as per given numbers 5376/424, 2935/902 is
LCM of Numerators i.e. for 5376,2935 is 15778560
GCF of denominators i.e. for 424,902 is 2.
Thus, LCM of Fractions is 7889280.Finally, LCM of Fractions for 5376/424, 2935/902 is 7889280.