Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 107/14, 726/9096 quickly i.e. 38841 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 107/14, 726/9096 is 38841.
LCM(107/14, 726/9096) = 38841
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 107/14,726/9096
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 107,726
Least Common Multiple of Numerators i.e. LCM of 107,726 is 77682.
GCF of Denominators means GCF of 14,9096 as per the given fractions.
GCF of 14,9096 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 107,726
Given numbers has no common factors except 1. So, there LCM is their product i.e 77682
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 107,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,726) x common factors =1 x 1 = 1
LCM(107,726) = ( 107 × 726 ) / 1
LCM(107,726) = 77682 / 1
LCM(107,726) = 77682
Lets's calculate GCF of 14,9096
2 | 14, 9096 |
7, 4548 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77682/2
Therefore the LCM of Fractions 107/14,726/9096 is 38841
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 9096
List of positive integer factors of 9096 that divides 9096 without a remainder.
1,2,3,4,6,8,12,24,379,758,1137,1516,2274,3032,4548,9096
Greatest Common Factor
We found the factors 14,9096 . The biggest common factor number is the GCF number.
So the greatest common factor 14,9096 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 107/14, 726/9096?
Answer: LCM of Numerators as per given numbers 107/14, 726/9096 is
LCM of Numerators i.e. for 107,726 is 77682
GCF of denominators i.e. for 14,9096 is 2.
Thus, LCM of Fractions is 38841.Finally, LCM of Fractions for 107/14, 726/9096 is 38841.