Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 115/235, 7093/910 quickly i.e. 163139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 115/235, 7093/910 is 163139.
LCM(115/235, 7093/910) = 163139
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 115/235,7093/910
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 115,7093
Least Common Multiple of Numerators i.e. LCM of 115,7093 is 815695.
GCF of Denominators means GCF of 235,910 as per the given fractions.
GCF of 235,910 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 115,7093
Given numbers has no common factors except 1. So, there LCM is their product i.e 815695
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 115,7093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,7093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,7093) x common factors =1 x 1 = 1
LCM(115,7093) = ( 115 × 7093 ) / 1
LCM(115,7093) = 815695 / 1
LCM(115,7093) = 815695
Lets's calculate GCF of 235,910
5 | 235, 910 |
47, 182 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 815695/5
Therefore the LCM of Fractions 115/235,7093/910 is 163139
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 235,910 . The biggest common factor number is the GCF number.
So the greatest common factor 235,910 is 5.
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 115/235, 7093/910?
Answer: LCM of Numerators as per given numbers 115/235, 7093/910 is
LCM of Numerators i.e. for 115,7093 is 815695
GCF of denominators i.e. for 235,910 is 5.
Thus, LCM of Fractions is 163139.Finally, LCM of Fractions for 115/235, 7093/910 is 163139.