Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 184/984, 671/675, 747/442 quickly i.e. 92227608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 184/984, 671/675, 747/442 is 92227608.
LCM(184/984, 671/675, 747/442) = 92227608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 184/984,671/675,747/442
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 184,671,747
Least Common Multiple of Numerators i.e. LCM of 184,671,747 is 92227608.
GCF of Denominators means GCF of 984,675,442 as per the given fractions.
GCF of 984,675,442 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 184,671,747
Given numbers has no common factors except 1. So, there LCM is their product i.e 92227608
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 184,671,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,671,747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,671,747) x common factors =1 x 1 = 1
LCM(184,671,747) = ( 184 × 671 × 747 ) / 1
LCM(184,671,747) = 92227608 / 1
LCM(184,671,747) = 92227608
Lets's calculate GCF of 984,675,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92227608/1
Therefore the LCM of Fractions 184/984,671/675,747/442 is 92227608
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 984,675,442 . The biggest common factor number is the GCF number.
So the greatest common factor 984,675,442 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 184/984, 671/675, 747/442?
Answer: LCM of Numerators as per given numbers 184/984, 671/675, 747/442 is
LCM of Numerators i.e. for 184,671,747 is 92227608
GCF of denominators i.e. for 984,675,442 is 1.
Thus, LCM of Fractions is 92227608.Finally, LCM of Fractions for 184/984, 671/675, 747/442 is 92227608.