Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 917/363, 113/275 quickly i.e. 103621/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 917/363, 113/275 is 103621/11.
LCM(917/363, 113/275) = 103621/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 917/363,113/275
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 917,113
Least Common Multiple of Numerators i.e. LCM of 917,113 is 103621.
GCF of Denominators means GCF of 363,275 as per the given fractions.
GCF of 363,275 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 917,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 103621
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 917,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,113) x common factors =1 x 1 = 1
LCM(917,113) = ( 917 × 113 ) / 1
LCM(917,113) = 103621 / 1
LCM(917,113) = 103621
Lets's calculate GCF of 363,275
11 | 363, 275 |
33, 25 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103621/11
Therefore the LCM of Fractions 917/363,113/275 is 103621/11
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 363,275 . The biggest common factor number is the GCF number.
So the greatest common factor 363,275 is 11.
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 917/363, 113/275?
Answer: LCM of Numerators as per given numbers 917/363, 113/275 is
LCM of Numerators i.e. for 917,113 is 103621
GCF of denominators i.e. for 363,275 is 11.
Thus, LCM of Fractions is 103621/11.Finally, LCM of Fractions for 917/363, 113/275 is 103621/11.