Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/25, 83/87, 69/166 quickly i.e. 314985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/25, 83/87, 69/166 is 314985.
LCM(55/25, 83/87, 69/166) = 314985
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/25,83/87,69/166
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 55,83,69
Least Common Multiple of Numerators i.e. LCM of 55,83,69 is 314985.
GCF of Denominators means GCF of 25,87,166 as per the given fractions.
GCF of 25,87,166 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,83,69
Given numbers has no common factors except 1. So, there LCM is their product i.e 314985
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 55,83,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,83,69) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,83,69) x common factors =1 x 1 = 1
LCM(55,83,69) = ( 55 × 83 × 69 ) / 1
LCM(55,83,69) = 314985 / 1
LCM(55,83,69) = 314985
Lets's calculate GCF of 25,87,166
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314985/1
Therefore the LCM of Fractions 55/25,83/87,69/166 is 314985
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 25,87,166 . The biggest common factor number is the GCF number.
So the greatest common factor 25,87,166 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 55/25, 83/87, 69/166?
Answer: LCM of Numerators as per given numbers 55/25, 83/87, 69/166 is
LCM of Numerators i.e. for 55,83,69 is 314985
GCF of denominators i.e. for 25,87,166 is 1.
Thus, LCM of Fractions is 314985.Finally, LCM of Fractions for 55/25, 83/87, 69/166 is 314985.