Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 486/911, 247/340, 211/135 quickly i.e. 25328862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 486/911, 247/340, 211/135 is 25328862.
LCM(486/911, 247/340, 211/135) = 25328862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 486/911,247/340,211/135
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 486,247,211
Least Common Multiple of Numerators i.e. LCM of 486,247,211 is 25328862.
GCF of Denominators means GCF of 911,340,135 as per the given fractions.
GCF of 911,340,135 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 486,247,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 25328862
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 486,247,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,247,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,247,211) x common factors =1 x 1 = 1
LCM(486,247,211) = ( 486 × 247 × 211 ) / 1
LCM(486,247,211) = 25328862 / 1
LCM(486,247,211) = 25328862
Lets's calculate GCF of 911,340,135
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25328862/1
Therefore the LCM of Fractions 486/911,247/340,211/135 is 25328862
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 911,340,135 . The biggest common factor number is the GCF number.
So the greatest common factor 911,340,135 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 486/911, 247/340, 211/135?
Answer: LCM of Numerators as per given numbers 486/911, 247/340, 211/135 is
LCM of Numerators i.e. for 486,247,211 is 25328862
GCF of denominators i.e. for 911,340,135 is 1.
Thus, LCM of Fractions is 25328862.Finally, LCM of Fractions for 486/911, 247/340, 211/135 is 25328862.