Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/193, 61/176, 394/116 quickly i.e. 889258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/193, 61/176, 394/116 is 889258.
LCM(37/193, 61/176, 394/116) = 889258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/193,61/176,394/116
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 37,61,394
Least Common Multiple of Numerators i.e. LCM of 37,61,394 is 889258.
GCF of Denominators means GCF of 193,176,116 as per the given fractions.
GCF of 193,176,116 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,61,394
Given numbers has no common factors except 1. So, there LCM is their product i.e 889258
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 37,61,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,61,394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,61,394) x common factors =1 x 1 = 1
LCM(37,61,394) = ( 37 × 61 × 394 ) / 1
LCM(37,61,394) = 889258 / 1
LCM(37,61,394) = 889258
Lets's calculate GCF of 193,176,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 889258/1
Therefore the LCM of Fractions 37/193,61/176,394/116 is 889258
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 193,176,116 . The biggest common factor number is the GCF number.
So the greatest common factor 193,176,116 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 37/193, 61/176, 394/116?
Answer: LCM of Numerators as per given numbers 37/193, 61/176, 394/116 is
LCM of Numerators i.e. for 37,61,394 is 889258
GCF of denominators i.e. for 193,176,116 is 1.
Thus, LCM of Fractions is 889258.Finally, LCM of Fractions for 37/193, 61/176, 394/116 is 889258.