Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 657/918, 233/958, 868/647 quickly i.e. 132874308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 657/918, 233/958, 868/647 is 132874308.
LCM(657/918, 233/958, 868/647) = 132874308
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 657/918,233/958,868/647
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 657,233,868
Least Common Multiple of Numerators i.e. LCM of 657,233,868 is 132874308.
GCF of Denominators means GCF of 918,958,647 as per the given fractions.
GCF of 918,958,647 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 657,233,868
Given numbers has no common factors except 1. So, there LCM is their product i.e 132874308
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 657,233,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,233,868) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,233,868) x common factors =1 x 1 = 1
LCM(657,233,868) = ( 657 × 233 × 868 ) / 1
LCM(657,233,868) = 132874308 / 1
LCM(657,233,868) = 132874308
Lets's calculate GCF of 918,958,647
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132874308/1
Therefore the LCM of Fractions 657/918,233/958,868/647 is 132874308
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Greatest Common Factor
We found the factors 918,958,647 . The biggest common factor number is the GCF number.
So the greatest common factor 918,958,647 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 657/918, 233/958, 868/647?
Answer: LCM of Numerators as per given numbers 657/918, 233/958, 868/647 is
LCM of Numerators i.e. for 657,233,868 is 132874308
GCF of denominators i.e. for 918,958,647 is 1.
Thus, LCM of Fractions is 132874308.Finally, LCM of Fractions for 657/918, 233/958, 868/647 is 132874308.