Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/988, 55/589, 67/273 quickly i.e. 11055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/988, 55/589, 67/273 is 11055.
LCM(3/988, 55/589, 67/273) = 11055
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/988,55/589,67/273
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 3,55,67
Least Common Multiple of Numerators i.e. LCM of 3,55,67 is 11055.
GCF of Denominators means GCF of 988,589,273 as per the given fractions.
GCF of 988,589,273 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,55,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 11055
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 3,55,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,55,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3,55,67) x common factors =1 x 1 = 1
LCM(3,55,67) = ( 3 × 55 × 67 ) / 1
LCM(3,55,67) = 11055 / 1
LCM(3,55,67) = 11055
Lets's calculate GCF of 988,589,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11055/1
Therefore the LCM of Fractions 3/988,55/589,67/273 is 11055
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 988,589,273 . The biggest common factor number is the GCF number.
So the greatest common factor 988,589,273 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 3/988, 55/589, 67/273?
Answer: LCM of Numerators as per given numbers 3/988, 55/589, 67/273 is
LCM of Numerators i.e. for 3,55,67 is 11055
GCF of denominators i.e. for 988,589,273 is 1.
Thus, LCM of Fractions is 11055.Finally, LCM of Fractions for 3/988, 55/589, 67/273 is 11055.