Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/117, 3988/1238 quickly i.e. 346956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/117, 3988/1238 is 346956.
LCM(87/117, 3988/1238) = 346956
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/117,3988/1238
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 87,3988
Least Common Multiple of Numerators i.e. LCM of 87,3988 is 346956.
GCF of Denominators means GCF of 117,1238 as per the given fractions.
GCF of 117,1238 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,3988
Given numbers has no common factors except 1. So, there LCM is their product i.e 346956
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 87,3988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,3988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,3988) x common factors =1 x 1 = 1
LCM(87,3988) = ( 87 × 3988 ) / 1
LCM(87,3988) = 346956 / 1
LCM(87,3988) = 346956
Lets's calculate GCF of 117,1238
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 346956/1
Therefore the LCM of Fractions 87/117,3988/1238 is 346956
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 1238
List of positive integer factors of 1238 that divides 1238 without a remainder.
1,2,619,1238
Greatest Common Factor
We found the factors 117,1238 . The biggest common factor number is the GCF number.
So the greatest common factor 117,1238 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 87/117, 3988/1238?
Answer: LCM of Numerators as per given numbers 87/117, 3988/1238 is
LCM of Numerators i.e. for 87,3988 is 346956
GCF of denominators i.e. for 117,1238 is 1.
Thus, LCM of Fractions is 346956.Finally, LCM of Fractions for 87/117, 3988/1238 is 346956.