Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5213/403, 8755/5447 quickly i.e. 3510755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5213/403, 8755/5447 is 3510755.
LCM(5213/403, 8755/5447) = 3510755
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5213/403,8755/5447
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 5213,8755
Least Common Multiple of Numerators i.e. LCM of 5213,8755 is 45639815.
GCF of Denominators means GCF of 403,5447 as per the given fractions.
GCF of 403,5447 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5213,8755
Given numbers has no common factors except 1. So, there LCM is their product i.e 45639815
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 5213,8755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5213,8755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5213,8755) x common factors =1 x 1 = 1
LCM(5213,8755) = ( 5213 × 8755 ) / 1
LCM(5213,8755) = 45639815 / 1
LCM(5213,8755) = 45639815
Lets's calculate GCF of 403,5447
13 | 403, 5447 |
31, 419 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45639815/13
Therefore the LCM of Fractions 5213/403,8755/5447 is 3510755
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 5447
List of positive integer factors of 5447 that divides 5447 without a remainder.
1,13,419,5447
Greatest Common Factor
We found the factors 403,5447 . The biggest common factor number is the GCF number.
So the greatest common factor 403,5447 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 5213/403, 8755/5447?
Answer: LCM of Numerators as per given numbers 5213/403, 8755/5447 is
LCM of Numerators i.e. for 5213,8755 is 45639815
GCF of denominators i.e. for 403,5447 is 13.
Thus, LCM of Fractions is 3510755.Finally, LCM of Fractions for 5213/403, 8755/5447 is 3510755.