Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/613, 948/577, 935/229 quickly i.e. 46978140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/613, 948/577, 935/229 is 46978140.
LCM(53/613, 948/577, 935/229) = 46978140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/613,948/577,935/229
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 53,948,935
Least Common Multiple of Numerators i.e. LCM of 53,948,935 is 46978140.
GCF of Denominators means GCF of 613,577,229 as per the given fractions.
GCF of 613,577,229 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,948,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 46978140
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 53,948,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,948,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,948,935) x common factors =1 x 1 = 1
LCM(53,948,935) = ( 53 × 948 × 935 ) / 1
LCM(53,948,935) = 46978140 / 1
LCM(53,948,935) = 46978140
Lets's calculate GCF of 613,577,229
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46978140/1
Therefore the LCM of Fractions 53/613,948/577,935/229 is 46978140
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Greatest Common Factor
We found the factors 613,577,229 . The biggest common factor number is the GCF number.
So the greatest common factor 613,577,229 is 1.
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 53/613, 948/577, 935/229?
Answer: LCM of Numerators as per given numbers 53/613, 948/577, 935/229 is
LCM of Numerators i.e. for 53,948,935 is 46978140
GCF of denominators i.e. for 613,577,229 is 1.
Thus, LCM of Fractions is 46978140.Finally, LCM of Fractions for 53/613, 948/577, 935/229 is 46978140.