Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/313, 231/302, 895/160 quickly i.e. 206745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/313, 231/302, 895/160 is 206745.
LCM(55/313, 231/302, 895/160) = 206745
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/313,231/302,895/160
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 55,231,895
Least Common Multiple of Numerators i.e. LCM of 55,231,895 is 206745.
GCF of Denominators means GCF of 313,302,160 as per the given fractions.
GCF of 313,302,160 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,231,895
5 | 55, 231, 895 |
11 | 11, 231, 179 |
1, 21, 179 |
∴ So the LCM of the given numbers is 5 x 11 x 1 x 21 x 179 = 206745
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 55,231,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,231,895) = 1
common factors(in case of two or more numbers have common factors) = 55
GCF(55,231,895) x common factors =1 x 55 = 55
LCM(55,231,895) = ( 55 × 231 × 895 ) / 55
LCM(55,231,895) = 11370975 / 55
LCM(55,231,895) = 206745
Lets's calculate GCF of 313,302,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206745/1
Therefore the LCM of Fractions 55/313,231/302,895/160 is 206745
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 313,302,160 . The biggest common factor number is the GCF number.
So the greatest common factor 313,302,160 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 55/313, 231/302, 895/160?
Answer: LCM of Numerators as per given numbers 55/313, 231/302, 895/160 is
LCM of Numerators i.e. for 55,231,895 is 206745
GCF of denominators i.e. for 313,302,160 is 1.
Thus, LCM of Fractions is 206745.Finally, LCM of Fractions for 55/313, 231/302, 895/160 is 206745.