Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 914/711, 261/888 quickly i.e. 79518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 914/711, 261/888 is 79518.
LCM(914/711, 261/888) = 79518
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 914/711,261/888
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 914,261
Least Common Multiple of Numerators i.e. LCM of 914,261 is 238554.
GCF of Denominators means GCF of 711,888 as per the given fractions.
GCF of 711,888 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 914,261
Given numbers has no common factors except 1. So, there LCM is their product i.e 238554
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 914,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,261) x common factors =1 x 1 = 1
LCM(914,261) = ( 914 × 261 ) / 1
LCM(914,261) = 238554 / 1
LCM(914,261) = 238554
Lets's calculate GCF of 711,888
3 | 711, 888 |
237, 296 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238554/3
Therefore the LCM of Fractions 914/711,261/888 is 79518
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 711,888 . The biggest common factor number is the GCF number.
So the greatest common factor 711,888 is 3.
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 914/711, 261/888?
Answer: LCM of Numerators as per given numbers 914/711, 261/888 is
LCM of Numerators i.e. for 914,261 is 238554
GCF of denominators i.e. for 711,888 is 3.
Thus, LCM of Fractions is 79518.Finally, LCM of Fractions for 914/711, 261/888 is 79518.