Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 184/655, 5325/8617 quickly i.e. 979800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 184/655, 5325/8617 is 979800.
LCM(184/655, 5325/8617) = 979800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 184/655,5325/8617
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 184,5325
Least Common Multiple of Numerators i.e. LCM of 184,5325 is 979800.
GCF of Denominators means GCF of 655,8617 as per the given fractions.
GCF of 655,8617 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 184,5325
Given numbers has no common factors except 1. So, there LCM is their product i.e 979800
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 184,5325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,5325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,5325) x common factors =1 x 1 = 1
LCM(184,5325) = ( 184 × 5325 ) / 1
LCM(184,5325) = 979800 / 1
LCM(184,5325) = 979800
Lets's calculate GCF of 655,8617
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 979800/1
Therefore the LCM of Fractions 184/655,5325/8617 is 979800
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 8617
List of positive integer factors of 8617 that divides 8617 without a remainder.
1,7,1231,8617
Greatest Common Factor
We found the factors 655,8617 . The biggest common factor number is the GCF number.
So the greatest common factor 655,8617 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 184/655, 5325/8617?
Answer: LCM of Numerators as per given numbers 184/655, 5325/8617 is
LCM of Numerators i.e. for 184,5325 is 979800
GCF of denominators i.e. for 655,8617 is 1.
Thus, LCM of Fractions is 979800.Finally, LCM of Fractions for 184/655, 5325/8617 is 979800.