Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 359/24, 883/31, 949/192 quickly i.e. 300830153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 359/24, 883/31, 949/192 is 300830153.
LCM(359/24, 883/31, 949/192) = 300830153
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 359/24,883/31,949/192
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 359,883,949
Least Common Multiple of Numerators i.e. LCM of 359,883,949 is 300830153.
GCF of Denominators means GCF of 24,31,192 as per the given fractions.
GCF of 24,31,192 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 359,883,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 300830153
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 359,883,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,883,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,883,949) x common factors =1 x 1 = 1
LCM(359,883,949) = ( 359 × 883 × 949 ) / 1
LCM(359,883,949) = 300830153 / 1
LCM(359,883,949) = 300830153
Lets's calculate GCF of 24,31,192
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300830153/1
Therefore the LCM of Fractions 359/24,883/31,949/192 is 300830153
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Greatest Common Factor
We found the factors 24,31,192 . The biggest common factor number is the GCF number.
So the greatest common factor 24,31,192 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 359/24, 883/31, 949/192?
Answer: LCM of Numerators as per given numbers 359/24, 883/31, 949/192 is
LCM of Numerators i.e. for 359,883,949 is 300830153
GCF of denominators i.e. for 24,31,192 is 1.
Thus, LCM of Fractions is 300830153.Finally, LCM of Fractions for 359/24, 883/31, 949/192 is 300830153.