Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 982/35, 195/3149 quickly i.e. 191490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 982/35, 195/3149 is 191490.
LCM(982/35, 195/3149) = 191490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 982/35,195/3149
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 982,195
Least Common Multiple of Numerators i.e. LCM of 982,195 is 191490.
GCF of Denominators means GCF of 35,3149 as per the given fractions.
GCF of 35,3149 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 982,195
Given numbers has no common factors except 1. So, there LCM is their product i.e 191490
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 982,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,195) x common factors =1 x 1 = 1
LCM(982,195) = ( 982 × 195 ) / 1
LCM(982,195) = 191490 / 1
LCM(982,195) = 191490
Lets's calculate GCF of 35,3149
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191490/1
Therefore the LCM of Fractions 982/35,195/3149 is 191490
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 3149
List of positive integer factors of 3149 that divides 3149 without a remainder.
1,47,67,3149
Greatest Common Factor
We found the factors 35,3149 . The biggest common factor number is the GCF number.
So the greatest common factor 35,3149 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 982/35, 195/3149?
Answer: LCM of Numerators as per given numbers 982/35, 195/3149 is
LCM of Numerators i.e. for 982,195 is 191490
GCF of denominators i.e. for 35,3149 is 1.
Thus, LCM of Fractions is 191490.Finally, LCM of Fractions for 982/35, 195/3149 is 191490.