Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 184/55, 686/9897 quickly i.e. 63112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 184/55, 686/9897 is 63112.
LCM(184/55, 686/9897) = 63112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 184/55,686/9897
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 184,686
Least Common Multiple of Numerators i.e. LCM of 184,686 is 63112.
GCF of Denominators means GCF of 55,9897 as per the given fractions.
GCF of 55,9897 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 184,686
2 | 184, 686 |
92, 343 |
∴ So the LCM of the given numbers is 2 x 92 x 343 = 63112
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 184,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(184,686) x common factors =2 x 1 = 2
LCM(184,686) = ( 184 × 686 ) / 2
LCM(184,686) = 126224 / 2
LCM(184,686) = 63112
Lets's calculate GCF of 55,9897
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63112/1
Therefore the LCM of Fractions 184/55,686/9897 is 63112
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 9897
List of positive integer factors of 9897 that divides 9897 without a remainder.
1,3,3299,9897
Greatest Common Factor
We found the factors 55,9897 . The biggest common factor number is the GCF number.
So the greatest common factor 55,9897 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 184/55, 686/9897?
Answer: LCM of Numerators as per given numbers 184/55, 686/9897 is
LCM of Numerators i.e. for 184,686 is 63112
GCF of denominators i.e. for 55,9897 is 1.
Thus, LCM of Fractions is 63112.Finally, LCM of Fractions for 184/55, 686/9897 is 63112.