Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 795/92, 859/5134 quickly i.e. 682905/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 795/92, 859/5134 is 682905/2.
LCM(795/92, 859/5134) = 682905/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 795/92,859/5134
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 795,859
Least Common Multiple of Numerators i.e. LCM of 795,859 is 682905.
GCF of Denominators means GCF of 92,5134 as per the given fractions.
GCF of 92,5134 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 795,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 682905
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 795,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,859) x common factors =1 x 1 = 1
LCM(795,859) = ( 795 × 859 ) / 1
LCM(795,859) = 682905 / 1
LCM(795,859) = 682905
Lets's calculate GCF of 92,5134
2 | 92, 5134 |
46, 2567 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 682905/2
Therefore the LCM of Fractions 795/92,859/5134 is 682905/2
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 5134
List of positive integer factors of 5134 that divides 5134 without a remainder.
1,2,17,34,151,302,2567,5134
Greatest Common Factor
We found the factors 92,5134 . The biggest common factor number is the GCF number.
So the greatest common factor 92,5134 is 2.
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 795/92, 859/5134?
Answer: LCM of Numerators as per given numbers 795/92, 859/5134 is
LCM of Numerators i.e. for 795,859 is 682905
GCF of denominators i.e. for 92,5134 is 2.
Thus, LCM of Fractions is 682905/2.Finally, LCM of Fractions for 795/92, 859/5134 is 682905/2.