Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9043/796, 3263/4754 quickly i.e. 29507309/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9043/796, 3263/4754 is 29507309/2.
LCM(9043/796, 3263/4754) = 29507309/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9043/796,3263/4754
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 9043,3263
Least Common Multiple of Numerators i.e. LCM of 9043,3263 is 29507309.
GCF of Denominators means GCF of 796,4754 as per the given fractions.
GCF of 796,4754 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9043,3263
Given numbers has no common factors except 1. So, there LCM is their product i.e 29507309
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 9043,3263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9043,3263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9043,3263) x common factors =1 x 1 = 1
LCM(9043,3263) = ( 9043 × 3263 ) / 1
LCM(9043,3263) = 29507309 / 1
LCM(9043,3263) = 29507309
Lets's calculate GCF of 796,4754
2 | 796, 4754 |
398, 2377 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29507309/2
Therefore the LCM of Fractions 9043/796,3263/4754 is 29507309/2
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 4754
List of positive integer factors of 4754 that divides 4754 without a remainder.
1,2,2377,4754
Greatest Common Factor
We found the factors 796,4754 . The biggest common factor number is the GCF number.
So the greatest common factor 796,4754 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 9043/796, 3263/4754?
Answer: LCM of Numerators as per given numbers 9043/796, 3263/4754 is
LCM of Numerators i.e. for 9043,3263 is 29507309
GCF of denominators i.e. for 796,4754 is 2.
Thus, LCM of Fractions is 29507309/2.Finally, LCM of Fractions for 9043/796, 3263/4754 is 29507309/2.