Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9306/813, 1765/9128 quickly i.e. 16425090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9306/813, 1765/9128 is 16425090.
LCM(9306/813, 1765/9128) = 16425090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9306/813,1765/9128
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 9306,1765
Least Common Multiple of Numerators i.e. LCM of 9306,1765 is 16425090.
GCF of Denominators means GCF of 813,9128 as per the given fractions.
GCF of 813,9128 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9306,1765
Given numbers has no common factors except 1. So, there LCM is their product i.e 16425090
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 9306,1765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9306,1765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9306,1765) x common factors =1 x 1 = 1
LCM(9306,1765) = ( 9306 × 1765 ) / 1
LCM(9306,1765) = 16425090 / 1
LCM(9306,1765) = 16425090
Lets's calculate GCF of 813,9128
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16425090/1
Therefore the LCM of Fractions 9306/813,1765/9128 is 16425090
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 9128
List of positive integer factors of 9128 that divides 9128 without a remainder.
1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128
Greatest Common Factor
We found the factors 813,9128 . The biggest common factor number is the GCF number.
So the greatest common factor 813,9128 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 9306/813, 1765/9128?
Answer: LCM of Numerators as per given numbers 9306/813, 1765/9128 is
LCM of Numerators i.e. for 9306,1765 is 16425090
GCF of denominators i.e. for 813,9128 is 1.
Thus, LCM of Fractions is 16425090.Finally, LCM of Fractions for 9306/813, 1765/9128 is 16425090.