Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/198, 52/986 quickly i.e. 2054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/198, 52/986 is 2054.
LCM(79/198, 52/986) = 2054
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/198,52/986
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 79,52
Least Common Multiple of Numerators i.e. LCM of 79,52 is 4108.
GCF of Denominators means GCF of 198,986 as per the given fractions.
GCF of 198,986 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,52
Given numbers has no common factors except 1. So, there LCM is their product i.e 4108
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 79,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,52) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,52) x common factors =1 x 1 = 1
LCM(79,52) = ( 79 × 52 ) / 1
LCM(79,52) = 4108 / 1
LCM(79,52) = 4108
Lets's calculate GCF of 198,986
2 | 198, 986 |
99, 493 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4108/2
Therefore the LCM of Fractions 79/198,52/986 is 2054
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 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 198,986 . The biggest common factor number is the GCF number.
So the greatest common factor 198,986 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 79/198, 52/986?
Answer: LCM of Numerators as per given numbers 79/198, 52/986 is
LCM of Numerators i.e. for 79,52 is 4108
GCF of denominators i.e. for 198,986 is 2.
Thus, LCM of Fractions is 2054.Finally, LCM of Fractions for 79/198, 52/986 is 2054.