Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 281/119, 1052/615 quickly i.e. 295612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 281/119, 1052/615 is 295612.
LCM(281/119, 1052/615) = 295612
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 281/119,1052/615
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 281,1052
Least Common Multiple of Numerators i.e. LCM of 281,1052 is 295612.
GCF of Denominators means GCF of 119,615 as per the given fractions.
GCF of 119,615 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 281,1052
Given numbers has no common factors except 1. So, there LCM is their product i.e 295612
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 281,1052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,1052) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,1052) x common factors =1 x 1 = 1
LCM(281,1052) = ( 281 × 1052 ) / 1
LCM(281,1052) = 295612 / 1
LCM(281,1052) = 295612
Lets's calculate GCF of 119,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295612/1
Therefore the LCM of Fractions 281/119,1052/615 is 295612
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 119,615 . The biggest common factor number is the GCF number.
So the greatest common factor 119,615 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 281/119, 1052/615?
Answer: LCM of Numerators as per given numbers 281/119, 1052/615 is
LCM of Numerators i.e. for 281,1052 is 295612
GCF of denominators i.e. for 119,615 is 1.
Thus, LCM of Fractions is 295612.Finally, LCM of Fractions for 281/119, 1052/615 is 295612.