Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 137/987, 198/833 quickly i.e. 27126/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 137/987, 198/833 is 27126/7.
LCM(137/987, 198/833) = 27126/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 137/987,198/833
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 137,198
Least Common Multiple of Numerators i.e. LCM of 137,198 is 27126.
GCF of Denominators means GCF of 987,833 as per the given fractions.
GCF of 987,833 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 137,198
Given numbers has no common factors except 1. So, there LCM is their product i.e 27126
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 137,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,198) x common factors =1 x 1 = 1
LCM(137,198) = ( 137 × 198 ) / 1
LCM(137,198) = 27126 / 1
LCM(137,198) = 27126
Lets's calculate GCF of 987,833
7 | 987, 833 |
141, 119 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27126/7
Therefore the LCM of Fractions 137/987,198/833 is 27126/7
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 987,833 . The biggest common factor number is the GCF number.
So the greatest common factor 987,833 is 7.
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 137/987, 198/833?
Answer: LCM of Numerators as per given numbers 137/987, 198/833 is
LCM of Numerators i.e. for 137,198 is 27126
GCF of denominators i.e. for 987,833 is 7.
Thus, LCM of Fractions is 27126/7.Finally, LCM of Fractions for 137/987, 198/833 is 27126/7.