Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 824/26, 874/1443 quickly i.e. 360088/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 824/26, 874/1443 is 360088/13.
LCM(824/26, 874/1443) = 360088/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 824/26,874/1443
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 824,874
Least Common Multiple of Numerators i.e. LCM of 824,874 is 360088.
GCF of Denominators means GCF of 26,1443 as per the given fractions.
GCF of 26,1443 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 824,874
2 | 824, 874 |
412, 437 |
∴ So the LCM of the given numbers is 2 x 412 x 437 = 360088
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 824,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(824,874) x common factors =2 x 1 = 2
LCM(824,874) = ( 824 × 874 ) / 2
LCM(824,874) = 720176 / 2
LCM(824,874) = 360088
Lets's calculate GCF of 26,1443
13 | 26, 1443 |
2, 111 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360088/13
Therefore the LCM of Fractions 824/26,874/1443 is 360088/13
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 1443
List of positive integer factors of 1443 that divides 1443 without a remainder.
1,3,13,37,39,111,481,1443
Greatest Common Factor
We found the factors 26,1443 . The biggest common factor number is the GCF number.
So the greatest common factor 26,1443 is 13.
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 824/26, 874/1443?
Answer: LCM of Numerators as per given numbers 824/26, 874/1443 is
LCM of Numerators i.e. for 824,874 is 360088
GCF of denominators i.e. for 26,1443 is 13.
Thus, LCM of Fractions is 360088/13.Finally, LCM of Fractions for 824/26, 874/1443 is 360088/13.