Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/119, 52/331, 898/140 quickly i.e. 863876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/119, 52/331, 898/140 is 863876.
LCM(37/119, 52/331, 898/140) = 863876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/119,52/331,898/140
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 37,52,898
Least Common Multiple of Numerators i.e. LCM of 37,52,898 is 863876.
GCF of Denominators means GCF of 119,331,140 as per the given fractions.
GCF of 119,331,140 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,52,898
2 | 37, 52, 898 |
37, 26, 449 |
∴ So the LCM of the given numbers is 2 x 37 x 26 x 449 = 863876
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 37,52,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,52,898) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(37,52,898) x common factors =1 x 2 = 2
LCM(37,52,898) = ( 37 × 52 × 898 ) / 2
LCM(37,52,898) = 1727752 / 2
LCM(37,52,898) = 863876
Lets's calculate GCF of 119,331,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 863876/1
Therefore the LCM of Fractions 37/119,52/331,898/140 is 863876
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 119,331,140 . The biggest common factor number is the GCF number.
So the greatest common factor 119,331,140 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 37/119, 52/331, 898/140?
Answer: LCM of Numerators as per given numbers 37/119, 52/331, 898/140 is
LCM of Numerators i.e. for 37,52,898 is 863876
GCF of denominators i.e. for 119,331,140 is 1.
Thus, LCM of Fractions is 863876.Finally, LCM of Fractions for 37/119, 52/331, 898/140 is 863876.