Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 826/854, 4439/1016 quickly i.e. 1833307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 826/854, 4439/1016 is 1833307.
LCM(826/854, 4439/1016) = 1833307
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 826/854,4439/1016
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 826,4439
Least Common Multiple of Numerators i.e. LCM of 826,4439 is 3666614.
GCF of Denominators means GCF of 854,1016 as per the given fractions.
GCF of 854,1016 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 826,4439
Given numbers has no common factors except 1. So, there LCM is their product i.e 3666614
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 826,4439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,4439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(826,4439) x common factors =1 x 1 = 1
LCM(826,4439) = ( 826 × 4439 ) / 1
LCM(826,4439) = 3666614 / 1
LCM(826,4439) = 3666614
Lets's calculate GCF of 854,1016
2 | 854, 1016 |
427, 508 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3666614/2
Therefore the LCM of Fractions 826/854,4439/1016 is 1833307
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 1016
List of positive integer factors of 1016 that divides 1016 without a remainder.
1,2,4,8,127,254,508,1016
Greatest Common Factor
We found the factors 854,1016 . The biggest common factor number is the GCF number.
So the greatest common factor 854,1016 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 826/854, 4439/1016?
Answer: LCM of Numerators as per given numbers 826/854, 4439/1016 is
LCM of Numerators i.e. for 826,4439 is 3666614
GCF of denominators i.e. for 854,1016 is 2.
Thus, LCM of Fractions is 1833307.Finally, LCM of Fractions for 826/854, 4439/1016 is 1833307.