Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 237/25, 115/51, 242/512 quickly i.e. 6595710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 237/25, 115/51, 242/512 is 6595710.
LCM(237/25, 115/51, 242/512) = 6595710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 237/25,115/51,242/512
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 237,115,242
Least Common Multiple of Numerators i.e. LCM of 237,115,242 is 6595710.
GCF of Denominators means GCF of 25,51,512 as per the given fractions.
GCF of 25,51,512 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 237,115,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 6595710
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 237,115,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,115,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,115,242) x common factors =1 x 1 = 1
LCM(237,115,242) = ( 237 × 115 × 242 ) / 1
LCM(237,115,242) = 6595710 / 1
LCM(237,115,242) = 6595710
Lets's calculate GCF of 25,51,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6595710/1
Therefore the LCM of Fractions 237/25,115/51,242/512 is 6595710
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 25,51,512 . The biggest common factor number is the GCF number.
So the greatest common factor 25,51,512 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 237/25, 115/51, 242/512?
Answer: LCM of Numerators as per given numbers 237/25, 115/51, 242/512 is
LCM of Numerators i.e. for 237,115,242 is 6595710
GCF of denominators i.e. for 25,51,512 is 1.
Thus, LCM of Fractions is 6595710.Finally, LCM of Fractions for 237/25, 115/51, 242/512 is 6595710.