Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 117/613, 241/712, 534/503 quickly i.e. 5019066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 117/613, 241/712, 534/503 is 5019066.
LCM(117/613, 241/712, 534/503) = 5019066
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 117/613,241/712,534/503
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 117,241,534
Least Common Multiple of Numerators i.e. LCM of 117,241,534 is 5019066.
GCF of Denominators means GCF of 613,712,503 as per the given fractions.
GCF of 613,712,503 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 117,241,534
3 | 117, 241, 534 |
39, 241, 178 |
∴ So the LCM of the given numbers is 3 x 39 x 241 x 178 = 5019066
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 117,241,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,241,534) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(117,241,534) x common factors =1 x 3 = 3
LCM(117,241,534) = ( 117 × 241 × 534 ) / 3
LCM(117,241,534) = 15057198 / 3
LCM(117,241,534) = 5019066
Lets's calculate GCF of 613,712,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5019066/1
Therefore the LCM of Fractions 117/613,241/712,534/503 is 5019066
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Greatest Common Factor
We found the factors 613,712,503 . The biggest common factor number is the GCF number.
So the greatest common factor 613,712,503 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 117/613, 241/712, 534/503?
Answer: LCM of Numerators as per given numbers 117/613, 241/712, 534/503 is
LCM of Numerators i.e. for 117,241,534 is 5019066
GCF of denominators i.e. for 613,712,503 is 1.
Thus, LCM of Fractions is 5019066.Finally, LCM of Fractions for 117/613, 241/712, 534/503 is 5019066.