Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 111/158, 2283/9793 quickly i.e. 84471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 111/158, 2283/9793 is 84471.
LCM(111/158, 2283/9793) = 84471
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 111/158,2283/9793
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 111,2283
Least Common Multiple of Numerators i.e. LCM of 111,2283 is 84471.
GCF of Denominators means GCF of 158,9793 as per the given fractions.
GCF of 158,9793 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 111,2283
3 | 111, 2283 |
37, 761 |
∴ So the LCM of the given numbers is 3 x 37 x 761 = 84471
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 111,2283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,2283) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(111,2283) x common factors =3 x 1 = 3
LCM(111,2283) = ( 111 × 2283 ) / 3
LCM(111,2283) = 253413 / 3
LCM(111,2283) = 84471
Lets's calculate GCF of 158,9793
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84471/1
Therefore the LCM of Fractions 111/158,2283/9793 is 84471
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 9793
List of positive integer factors of 9793 that divides 9793 without a remainder.
1,7,1399,9793
Greatest Common Factor
We found the factors 158,9793 . The biggest common factor number is the GCF number.
So the greatest common factor 158,9793 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 111/158, 2283/9793?
Answer: LCM of Numerators as per given numbers 111/158, 2283/9793 is
LCM of Numerators i.e. for 111,2283 is 84471
GCF of denominators i.e. for 158,9793 is 1.
Thus, LCM of Fractions is 84471.Finally, LCM of Fractions for 111/158, 2283/9793 is 84471.