Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 113/596, 199/143, 892/134 quickly i.e. 20058404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 113/596, 199/143, 892/134 is 20058404.
LCM(113/596, 199/143, 892/134) = 20058404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 113/596,199/143,892/134
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 113,199,892
Least Common Multiple of Numerators i.e. LCM of 113,199,892 is 20058404.
GCF of Denominators means GCF of 596,143,134 as per the given fractions.
GCF of 596,143,134 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 113,199,892
Given numbers has no common factors except 1. So, there LCM is their product i.e 20058404
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 113,199,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,199,892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,199,892) x common factors =1 x 1 = 1
LCM(113,199,892) = ( 113 × 199 × 892 ) / 1
LCM(113,199,892) = 20058404 / 1
LCM(113,199,892) = 20058404
Lets's calculate GCF of 596,143,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20058404/1
Therefore the LCM of Fractions 113/596,199/143,892/134 is 20058404
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 596,143,134 . The biggest common factor number is the GCF number.
So the greatest common factor 596,143,134 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 113/596, 199/143, 892/134?
Answer: LCM of Numerators as per given numbers 113/596, 199/143, 892/134 is
LCM of Numerators i.e. for 113,199,892 is 20058404
GCF of denominators i.e. for 596,143,134 is 1.
Thus, LCM of Fractions is 20058404.Finally, LCM of Fractions for 113/596, 199/143, 892/134 is 20058404.