Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 174/198, 4138/290 quickly i.e. 180003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 174/198, 4138/290 is 180003.
LCM(174/198, 4138/290) = 180003
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 174/198,4138/290
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 174,4138
Least Common Multiple of Numerators i.e. LCM of 174,4138 is 360006.
GCF of Denominators means GCF of 198,290 as per the given fractions.
GCF of 198,290 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 174,4138
2 | 174, 4138 |
87, 2069 |
∴ So the LCM of the given numbers is 2 x 87 x 2069 = 360006
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 174,4138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,4138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,4138) x common factors =2 x 1 = 2
LCM(174,4138) = ( 174 × 4138 ) / 2
LCM(174,4138) = 720012 / 2
LCM(174,4138) = 360006
Lets's calculate GCF of 198,290
2 | 198, 290 |
99, 145 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360006/2
Therefore the LCM of Fractions 174/198,4138/290 is 180003
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 198,290 . The biggest common factor number is the GCF number.
So the greatest common factor 198,290 is 2.
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 174/198, 4138/290?
Answer: LCM of Numerators as per given numbers 174/198, 4138/290 is
LCM of Numerators i.e. for 174,4138 is 360006
GCF of denominators i.e. for 198,290 is 2.
Thus, LCM of Fractions is 180003.Finally, LCM of Fractions for 174/198, 4138/290 is 180003.