Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2433/260, 8036/1278 quickly i.e. 9775794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2433/260, 8036/1278 is 9775794.
LCM(2433/260, 8036/1278) = 9775794
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2433/260,8036/1278
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 2433,8036
Least Common Multiple of Numerators i.e. LCM of 2433,8036 is 19551588.
GCF of Denominators means GCF of 260,1278 as per the given fractions.
GCF of 260,1278 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2433,8036
Given numbers has no common factors except 1. So, there LCM is their product i.e 19551588
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 2433,8036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2433,8036) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2433,8036) x common factors =1 x 1 = 1
LCM(2433,8036) = ( 2433 × 8036 ) / 1
LCM(2433,8036) = 19551588 / 1
LCM(2433,8036) = 19551588
Lets's calculate GCF of 260,1278
2 | 260, 1278 |
130, 639 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19551588/2
Therefore the LCM of Fractions 2433/260,8036/1278 is 9775794
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 1278
List of positive integer factors of 1278 that divides 1278 without a remainder.
1,2,3,6,9,18,71,142,213,426,639,1278
Greatest Common Factor
We found the factors 260,1278 . The biggest common factor number is the GCF number.
So the greatest common factor 260,1278 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 2433/260, 8036/1278?
Answer: LCM of Numerators as per given numbers 2433/260, 8036/1278 is
LCM of Numerators i.e. for 2433,8036 is 19551588
GCF of denominators i.e. for 260,1278 is 2.
Thus, LCM of Fractions is 9775794.Finally, LCM of Fractions for 2433/260, 8036/1278 is 9775794.