Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4943/876, 4903/7644 quickly i.e. 24235529/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4943/876, 4903/7644 is 24235529/12.
LCM(4943/876, 4903/7644) = 24235529/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4943/876,4903/7644
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 4943,4903
Least Common Multiple of Numerators i.e. LCM of 4943,4903 is 24235529.
GCF of Denominators means GCF of 876,7644 as per the given fractions.
GCF of 876,7644 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4943,4903
Given numbers has no common factors except 1. So, there LCM is their product i.e 24235529
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 4943,4903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4943,4903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4943,4903) x common factors =1 x 1 = 1
LCM(4943,4903) = ( 4943 × 4903 ) / 1
LCM(4943,4903) = 24235529 / 1
LCM(4943,4903) = 24235529
Lets's calculate GCF of 876,7644
2 | 876, 7644 |
2 | 438, 3822 |
3 | 219, 1911 |
73, 637 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24235529/12
Therefore the LCM of Fractions 4943/876,4903/7644 is 24235529/12
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 7644
List of positive integer factors of 7644 that divides 7644 without a remainder.
1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644
Greatest Common Factor
We found the factors 876,7644 . The biggest common factor number is the GCF number.
So the greatest common factor 876,7644 is 12.
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 4943/876, 4903/7644?
Answer: LCM of Numerators as per given numbers 4943/876, 4903/7644 is
LCM of Numerators i.e. for 4943,4903 is 24235529
GCF of denominators i.e. for 876,7644 is 12.
Thus, LCM of Fractions is 24235529/12.Finally, LCM of Fractions for 4943/876, 4903/7644 is 24235529/12.