Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/956, 54/866, 54/592 quickly i.e. 108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/956, 54/866, 54/592 is 108.
LCM(8/956, 54/866, 54/592) = 108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/956,54/866,54/592
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 8,54,54
Least Common Multiple of Numerators i.e. LCM of 8,54,54 is 216.
GCF of Denominators means GCF of 956,866,592 as per the given fractions.
GCF of 956,866,592 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,54,54
2 | 8, 54, 54 |
3 | 4, 27, 27 |
3 | 4, 9, 9 |
3 | 4, 3, 3 |
4, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 4 x 1 x 1 = 216
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 8,54,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,54,54) = 2
common factors(in case of two or more numbers have common factors) = 54
GCF(8,54,54) x common factors =2 x 54 = 108
LCM(8,54,54) = ( 8 × 54 × 54 ) / 108
LCM(8,54,54) = 23328 / 108
LCM(8,54,54) = 216
Lets's calculate GCF of 956,866,592
2 | 956, 866, 592 |
478, 433, 296 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216/2
Therefore the LCM of Fractions 8/956,54/866,54/592 is 108
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 956,866,592 . The biggest common factor number is the GCF number.
So the greatest common factor 956,866,592 is 2.
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 8/956, 54/866, 54/592?
Answer: LCM of Numerators as per given numbers 8/956, 54/866, 54/592 is
LCM of Numerators i.e. for 8,54,54 is 216
GCF of denominators i.e. for 956,866,592 is 2.
Thus, LCM of Fractions is 108.Finally, LCM of Fractions for 8/956, 54/866, 54/592 is 108.