Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/83, 45/47, 83/55, 73/268 quickly i.e. 23993640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/83, 45/47, 83/55, 73/268 is 23993640.
LCM(88/83, 45/47, 83/55, 73/268) = 23993640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/83,45/47,83/55,73/268
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 88,45,83,73
Least Common Multiple of Numerators i.e. LCM of 88,45,83,73 is 23993640.
GCF of Denominators means GCF of 83,47,55,268 as per the given fractions.
GCF of 83,47,55,268 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,45,83,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 23993640
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 88,45,83,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,45,83,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,45,83,73) x common factors =1 x 1 = 1
LCM(88,45,83,73) = ( 88 × 45 × 83 × 73 ) / 1
LCM(88,45,83,73) = 23993640 / 1
LCM(88,45,83,73) = 23993640
Lets's calculate GCF of 83,47,55,268
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23993640/1
Therefore the LCM of Fractions 88/83,45/47,83/55,73/268 is 23993640
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Greatest Common Factor
We found the factors 83,47,55,268 . The biggest common factor number is the GCF number.
So the greatest common factor 83,47,55,268 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 88/83, 45/47, 83/55, 73/268?
Answer: LCM of Numerators as per given numbers 88/83, 45/47, 83/55, 73/268 is
LCM of Numerators i.e. for 88,45,83,73 is 23993640
GCF of denominators i.e. for 83,47,55,268 is 1.
Thus, LCM of Fractions is 23993640.Finally, LCM of Fractions for 88/83, 45/47, 83/55, 73/268 is 23993640.